Which of the following options correctly represents the complete factored form of the polynomial?

Which Of The Following Options Correctly Represents The Complete Factored Form Of The Polynomial?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

f(x)=(x-3)(x²+2x+2)

when solve for x using quadratic formula fo x in (x²+2x+2):

x=(-b±√b²-4ac)/2a  a=1,b=2,c=2

x=-1±i

f(x)=(x-3)(x+1-i)(x+1+i)

Answer 2

The complete factored form of the polynomial is F(x) = (x - 3)(x + 1 + i)(x + 1 - i).

To find the complete factored form of the polynomial F(x) = x³ - x² - 4x - 6, we can factor it using various methods such as synthetic division or factoring by grouping.

Factoring the polynomial, we get:

F(x) = (x + 3)(x - 1)(x + 2)

Comparing the factored form with the options provided:

A. F(x) = (x + 3)(x + 1)(x - 1)

This option does not match the factored form of the polynomial.

B. F(x) = (x - 3)(x + 1 + i)(x + 1 - i)

f(x)=(x-3)(x²+2x+2)

When solve for x using quadratic formula fo x in (x²+2x+2):

x=(-b±√b²-4ac)/2a  

x=-1±i

f(x)=(x-3)(x+1-i)(x+1+i)

So, the is the required factored form.

C. F(x) = (x - 3)(x + 1 + i)(x - 1 - i)

This option does not match the factored form of the polynomial.

D. F(x) = (x + 3)(x + 1 + i)(x + 1 - i)

This option does not match the factored form of the polynomial.

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Related Questions

easy 10 points and brainliest!

Answers

Answer:

Quadrant II

Step-by-step explanation:

Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.

Cheers.

I believe its quadrant 10

Truck has a trailer that has a length of 13 feet width of 6 feet and a height of 8 feet what is the volume of the trailer

Answers

Answer:

624ft^3

Step-by-step explanation:

the formula for volume is lengthxwidthxheight.

so it would be 13x6x8

and that sum is 624ft^3

i bought a house for 55,000 with a simple interest rate of 7% for 15 years.How much did she pay for her house?

Answers

Answer:

57,750

Step-by-step explanation:

you would take 7% of 55000 which is 3,850 and multiply that by 15 which is 57,750 and that is the final answer

Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
Sy <5
-5
or
DONE

Answers

Answers:

Domain:  [tex]-4 < x \le 4[/tex]

Range:  [tex]-2 \le y < 5[/tex]

=======================================

Explanation:

The domain is the set of allowed x values.

The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.

The right most point is at (4,-2). So [tex]x \le 4[/tex]

Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]

----------------------

The range is the set of possible y values.

The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.

Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]

Answer: domain - -4

Range- -2

Step-by-step explanation:

The function ​f(x) models the average cost per​ unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of ​? Round to the nearest integer.

Answers

Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

a 27 piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 inches more than three times the length of the first piece what's the length of the first piece

Answers

Answer:

4 in, 8 in, 15 in

Step-by-step explanation:

If x, y, z are the three pieces, then:

x + y + z = 27

y = 2x

z = 3 + 3x

Substitute the second and third equations into the first.

x + 2x + 3 + 3x = 27

6x + 3 = 27

6x = 24

x = 4

y = 8

z = 15

The given figure is a rectangular prism.
Which edges are parallel to QT ?
Select all answers that are correct.
ΡΗ
HA
PR
QE

Answers

Answer:

PR and HA

Step-by-step explanation:

The edges parallel to QT are HA and PR.

Here,

The given figure is rectangular prism.

We have to find the edges parallel to QT.

What are Parallel lines?

Parallel lines are never intersect and always lie in a plane that are always the same distance apart.

Now,

Edge HA and QT are never intersect.

Hence, HA and QT are parallel lines.

Edge PR and QT are never intersect.

Hence, PR and QT are parallel lines.

Therefore, The edges parallel to QT are HA and PR.

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g(x)=x+2; find g (5)

Answers

g(x)=x+2

g(5)=?

now

g(5)=5+2

=7

Answer: g(5) = 5 + 2 = 7


From the observation deck of the lighthouse at Sasquatch Point 55 feet above the surface of Lake Ippizuti, a lifeguard spots a boat out on the lake sailing directly toward the light
house. The first sighting had a angle of depression of 8.1 and the second sighting had an angle of depression of 25.7°. How far had the boat traveled between the sightings?

Answers

Answer:

272.17 ft

Step-by-step explanation:

Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,

tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting

So, d = x/tanθ

when θ = 8.1°, for the first sighting,

d₁ = 55/tan8.1 = 386.45 ft

when θ = 25.7°, for the second sighting,

d₂ = 55/tan8.1 = 114.28 ft

The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft

Indicate which property is illustrated in Step 2.

Step 1 12x + 2 + 5x + 1 = (12x + 2) + (5x + 1)
Step 2 = 12x + (2 + 5x) + 1
Step 3 = 12x + (5x + 2) + 1
Step 4 = (12x + 5x) + (2 + 1)
Step 5 = (12 + 5)x + (2 + 1)
Step 6 = 17x + 3

A.
distributive
B.
associative
C.
arithmetic fact
D.
commutative

Answers

Answer:

b

Step-by-step explanation:

Is 3.12 repeating a irrational or a rational

Answers

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

10x-10=5(x+1) Wht is x

Answers

Answer:

x = 3

Step-by-step explanation:

We know:

10x - 10 = 5 ( x + 1 )

Distribute/ Multiply:

10x -10 = 5x + 5

Rearrange equation:

10x - 5x = 5 + 10

Combine like terms:

5x = 15

Divide:

x = 3

How many inches are in 8 feet?

Answers

Answer: 96

Step-by-step explanation:

Answer: 96 inches

Step-by-step explanation:

1 Feet=12 inches

--------------------------------

So.....

8 Feet= 12 × 8 inches

8 Feet= 96 inches

Hope this helps!! :)

Please let me know if you have any question

Will give brainliest -2u+6w=9 rearrange the equation so w is an independent variable. PLEASE HELP!

Answers

Answer:

[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]

Step-by-step explanation:

[tex]-2u+6w=9[/tex]

Adding 2u to both sides.

[tex]6w=9+2u[/tex]

Dividing both sides by 6.

[tex]\displaystyle w=\frac{2u+9}{6}[/tex]

Answer:

So we have this equation:

[tex]-2u + 6w = 9[/tex]

And we need to rearrange it to make the w an independent variable.

That means we need to solve the equation for w:

[tex]-2u + 6w = 9[/tex]

First thing we need to do is passing the [tex]-2u[/tex] to the right summing:

[tex]6w = 9 + 2u[/tex]

Next, we can pass the 6 (which is multiplying the w) to the right dividing:

[tex]w = \frac{9+2u}{6}[/tex]

we can also write it as this:

[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]

Rebecca Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 846 points. The number of​ two-point field goals that Rebecca made was 77 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 30 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Wilson made during the 2006 regular season.

Answers

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = [tex]x[/tex]

Let the number of three point goals = [tex]y[/tex]

Let the number of free throws = [tex]z[/tex]

As per the given statements:

[tex]x = 2y-77 ...... (1)[/tex]

[tex]z = x-30 ...... (2)[/tex]

Using equation (1):

[tex]z = 2y-107[/tex] ...... (3)

Total number of points from two point goals  = [tex]2x[/tex]

Total number of points from three point goals  = [tex]3y[/tex]

Total number of points from free throws  = [tex]z[/tex]

[tex]2x+3y+z=846[/tex]

using (1) and (3):

[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]

By (1):

[tex]x = 2\times 123-77 =169[/tex]

By (3):

[tex]z =2\times 123-107 = 139[/tex]

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

-4(v+1) Polynomials Equation

Answers

Answer:

-4(v+1)

(-4 X v ) + -4 X 1

-4v + -4

it is your polynomial equation....

How can someone's knowledge of math be applied to be more successful life?

Answers

1. Learning math is good for your brain
2. Math helps you tell time
3. Math helps you with your finances
4. Math makes you a better cook (or baker)
5. Math helps us have better problem-solving skills
6. Practically every career uses math in some way.
7. Math is all around us and helps us understand the world better
8. Math can help you shop for a good sale
9. Math is a universal language

(PLS HELP ASAP) A basketball player scored 351 points last year. If the player plays 18 games this year, how many points will he need to average per game to beat last year’s total?

Answers

Answer:

I think it's 19 I'm pretty sure

Answer:

20

Step-by-step explanation:

The first step would be to divide 351 by 18 to see what score he would need to tie his previous record. The answer to that would be 19.5, so if you round to the nearest whole, you would get 20.

Convert 0.83 into a fraction.​

Answers

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==>  100x - 10x = 83.333... - 8.333...

==>  90x = 83 - 8 = 75

==>  x = 75/90 = 5/6

In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team win? Let x=0.4 repeating

Answers

Answer:

[tex]x = \frac{4}{9}[/tex]

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

[tex]x = 0.444[/tex]

Convert to fraction

[tex]x = \frac{444}{1000}[/tex]

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

[tex]x = \frac{444}{1000 - 1}[/tex]

[tex]x = \frac{444}{999}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 37

[tex]x = \frac{444/37}{999/37}[/tex]

[tex]x = \frac{12}{27}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 3

[tex]x = \frac{12/3}{27/3}[/tex]

[tex]x = \frac{4}{9}[/tex]

Hence;

There winning fraction is [tex]\frac{4}{9}[/tex]

In 2010 Sacramento received 23 inches in annual precipitation , in 2011 the city received 17 inches in anual percpation , in which year was there more precpition?

Answers

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

Evaluate 4.1 + 6. 16 + 0.

Answers

The answer to 4.1+6.16+0. Is 10.26

If  BD BC, BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.

Answers

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

A length of rope is divided into two pieces in the ratio 2:5 If the longer
piece is 120 m, what is the length of the shorter piece? (SHOW WORKING)​

Answers

Answer:

The answer is

34.3 m

Step-by-step explanation:

To find the length of the shorter piece we must first find the total parts

That's

2 + 5 = 7

Looking at the ratio above we can see that 2 is the smaller part which makes it the shorter piece

Now divide 2 by the total parts and multiply by 120

That's

[tex] \frac{2}{7} \times 120 \\ = \frac{240}{7} \\ = 34.285714[/tex]

We have the final answer as

34.3 m

Hope this helps you

How many sets of distinct odd positive integers have a sum of 16?

Answers

Answer:

Answer:

I think its 4

Step-by-step explanation:

hope this helps

In a trivia contest, players from teams and work together to earn as many points as possible for their team. Each team can have 3 and 5 players. Each play can score up to 10 points in each round of the game. Elena and four of her friends divided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents

Answers

Answer:

The inequality for each quantity described is given as follows;

0 ≤ A + B + C + D + E ≤ 50

Step-by-step explanation:

The given information are;

The number of players each team can have = between 3 and 5

The maximum number of points a player can score in each round of the game = 10 points

The number of players in Elena's team = Elena + 4 = 5 players

The total number of points Elena's team earns at the end of the round is given as follows;

0 ≤ A + B + C + D + E ≤ 5 × 10

Where the variables A, B, C, D, and E are the points each of Elena and are  makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;

0 ≤ A + B + C + D + E ≤ 50.

Evaluate the expression. 7⋅4+6−12÷4

Answers

Answer:

27+6-2=31

Step-by-step explanation:

A plumber has a 20Foot piece of PVC pipe. How many nine over foot pieces can be cut from the 20 5 piece

Answers

Answer: 11

Step-by-step explanation: divide the total length of pvc pipe by the individual piece

The element bromine turns into a liquid at 27°C, and it turns into a gas at 59°C From the temperature at which bromine becomes a liquid, by how many degrees must the temperature change for it to turn into a gas?

Answers

Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

Nine and two hundred thirty-five thousand as decimals

Answers

9.235

"nine and two hundred thirty-five"

You're going to start with the number(s) before and which would be 9 in this case then lake your number(s) after the and, the number would be 235 in this case now you have 9 and 235 replace the and for a decimal and you will get your answer :) 9.235

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