The polynomial p(x)=3x^3-5x^2-4x+4p(x)=3x 3 −5x 2 −4x+4p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 5, x, squared, minus, 4, x, plus, 4 has a known factor of (x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
Answers
Answer:
(3x-2)(x-2)(x+1)
Step-by-step explanation:
Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor
To find the other factors, we shall divide the polynomial by the given factor
That will be;
3x^3-5x^2-4x + 4/(x-2)
we use long polynomial division here
Please check attachment for the division
The division yields 3x^2 + x - 2
what is left is to factorize the expression above
That will be;
3x^2 + 3x -2x - 2
= 3x(x + 1) -2(x + 1)
So we have (3x-2)(x + 1)
So the complete factorization will be;
3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)
Related Questions
At the snack bar, 12 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 66 hot dogs are sold?
Answers
Answer:
the answer is 54
Step-by-step explanation:
I am doing same thing
Answer:105
Step-by-step explanation:
When the quotient of a long division problem has a remainder, it means the
( divisor / dividend ) does not go into the
(divisor / dividend ) evenly.
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HEY answer this question so you can win. The answer has to be right or no winning 1000 dollors.
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PLEASE HELP ASAP! (picture is attached) You real one if you do
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Answer:
x is equal to 1
Step-by-step explanation:
heres another im stuck on
im so bad at slopess
Answers
Answer:
1. e
2. d
3. b
4. c
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Samuel is y years old. In 10 years he will be 27. How old is Samuel?
Show work
Answers
Answer:
17
Step-by-step explanation:
(Samuel is years old in ten years he will be 27.)
how do we find his age he is rignt now?
First: you need to find the key words.
Samuel is years old in ten years he will be 27
secont: you find a way to do your problom.
27 ↓
- 10 ↓
````````````
17 ←
78.57142857 round up
Answers
Answer:
It would be 79 as a whole number.
Step-by-step explanation:
78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.
If it is 5 or greater than. You would round it to 79
If not greater than 5. You round it down to 78 still.
Select the correct answer from each drop-down menu.
This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.
Answers
Answer:
- construction of a line parallel to line AB through point P
∠TPU is 75°
Step-by-step explanation:
For Plato users
The image may be the result of the construction of a line parallel to line AB through point P
∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°
Answer:
below
Step-by-step explanation:
Got it right
I'm doing simplifying expressions with exponents
Was wondering what it meant byexpress as a power of 2?
Answers
Answer:
Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.
The number is expressed as 2^n
For example:
Express 16 as a power of 2:
To get 16, you have to multiply 2 by 4 times.
2 × 2 × 2 × 2 = 16
16 = 2^4
Then the answer is 2^4
Write the vocabulary word for: A ratio of two quantities with different units.
We dont have vocab words in class so....
Answers
Answer:
a rate
Step-by-step explanation:
I looked it up :P
A beef stew recipe calls for 3 cups of vegetable juice. Find the number of fluid ounces of vegetable juice needed for the recipe.
Answers
Answer:
24 fluid ounces
Step-by-step explanation:
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30
cm, find its length. Also find the area of the rectangle.
Answers
Answer:
The length is 35cm and the area is 1050cm^2
Step-by-step explanation:
The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:
[tex]60+ 2x=130[/tex]
[tex]2x=70[/tex]
[tex]x=35[/tex]
For the area multiply 30 by 35
[tex]30*35=1050[/tex]
And your answer for the area is in cm^2
HURRY PLEASE!! I’ll mark you as brainliest
Tonya's class planted sunflowers and the students are tracking the growth of their individual plants. The table
shows the height of
Tonya's plant t days after she planted her sunflower seed
Based on the data in the table, what function h(t) represents the height, h, in inches, at time t?

Answers
Answer:
Here's what i did
Step-by-step explanation:
The answer is h = 0.4t
A linear function is a function in the form of:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
We can use the data in the table to find the relationship between the time (t) and height (h)
Let us use the format (height, time). Hence from the table, we have the points:
(4, 10), (8, 20), (12, 30) and (16,40). Using any two points, in this case (4, 10) and (16,40), we can apply the formula:
[tex]h-h_1=\frac{h_2-h_1}{t_2-t_1} (t-t_1)\\\\h-4=\frac{16-4}{40-10} (t-10)\\\\h-4=0.4(t-10)\\\\h-4=0.4t-4\\\\h = 0.4t[/tex]
Find out more at: https://brainly.com/question/13911928
Select the correct answer from each drop-down menu.
The Northville School Board has proposed this budget for the upcoming school year
• 20% for school staff's salaries
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 5% to upgrade the computer lab hardware
• 10% for new instruments for the music department
• 5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
• 20% for school staffs salanes
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 10% to upgrade the computer lab hardware
• 5% for new instruments for the music department
• 5% for new sports equipment
In this case, the opportunity cost for
Answers
Incomplete question. The completed question reads;
The Northville School Board has proposed this budget for the upcoming school year:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
5% to upgrade the computer lab hardware
10% for new instruments for the music department
5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
10% to upgrade the computer lab hardware
5% for new instruments for the music department
5% for new sports equipment
In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?
Answer:
getting new instrument
Explanation:
Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.
Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).
Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.
Answer:
In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.
Step-by-step explanation:
Edmentum
I need helpppp IDKK
Answers
Answer:
Step-by-step explanation:
Choice
Answer:
Can you award me brainest
Please help me Evaluate -9 - (-4)
Answers
Answer:
Should be 13. Sorry if I’m incorrect!
Step-by-step explanation:
Which pair shows equivalent expressions? PLEASE HURRY IM BEING TIMED!!!!
Answers
Answer:
-2x-10=-2(x+5)
Step-by-step explanation:
Answer:
it's the third one
Step-by-step explanation:
I believe on doing homework to good luck with your work hope this helps
what is the next 3 terms for (-6,42,-294,2058)
Answers
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
haven't done expressions in a while so pls help :)
Answers
Answer:
3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3
Answer:3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3
Determine whether each number is rational or irrational
Answers
Answer:
B C E G J
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
D. Multiply/divide both sides by the same variable expression.NoStep-by-step explanation:
1) Comparing the two equations, we see that the multiplier 'x' is missing from both sides in equation B. That is, it has been divided out:
(5x)/x = (3x)/x ⇒ 5 = 3
Both sides have been divided by x.
__
2) The equations are equivalent if and only if x ≠ 0. Unfortunately, in equation A, the only solution is x = 0. For equations like the one in A, it is better to subtract one side from both:
5x -3x = 3x -3x ⇒ 2x = 0
Now, dividing by 2, it is clear that the solution is x = 0.
Equations A and B are not equivalent, because the condition on the division property of equality was violated (you cannot divide by 0).
12(4x -1/4x ) 2 + 5(4x-1/4x) - 2
solve it
Answers
"1.5" was replaced by "(15/10)".
5*(4*x-(15/10)*x)+12-(4*x-2)=0
Simplify 3/2
3
((5 • (4x - (— • x))) + 12) - (4x - 2) = 0
2
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator
Pull out like factors :
4x - 2 = 2 • (2x - 1)
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
17x+28
—————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
17x+28 = 0
14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your house. Write an equation in slope-intercept form that models the price of your installation as a function of the amount of time it takes.
A. y=30x+10
B. y=10x+30
C. y=10x-30
D. y=30x-10
Answers
Y= $10( hours) + $30
So you multiply $10 (x) how many hours worked plus $30 charge for base . Will give you the (y)
An elevator goes up 12 floors. I need help with this to I’m confused.
Answers
Answer:
Because, the situation is going up, the integer is +12 or 12.
Do these 3 side lengths form a right triangle? (Yes or no question): 10 cm, 49.5 cm, 50.5 cm
Answers
Answer:
yes
Step-by-step explanation:
By the converse of Pythagoras' identity.
If the longest side squared is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 50.5
50.5² = 2550.25
10² + 49.5² = 100 + 2450.25 = 2550.25
Thus the given triangle is right.
Answer:
yes and no
Step-by-step explanation:
It is because there and different types of triangles and you were not specific with you questionThe distance from El Paso Texas to Houston
Texas is approximately 746 miles. If you
have already traveled 296 miles and you plan
on driving at a constant rate of 75 miles per
hour, how long will it take to get to Houston?
Answers
Answer:
It will take 6 hours to get to Houston.
Step-by-step explanation:
We have a total distance:
[tex] d_{T} = 746 mi [/tex]
And, the distance traveled is:
[tex] d = 296 mi [/tex]
The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:
[tex]t = \frac{x}{v}[/tex]
Where:
[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]
[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]
Therefore, it will take 6 hours to get to Houston.
I hope it helps you!
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answers
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
Simplify 2x+3y^2-2(x-Y)
y^2, 2y^2, 4y^2, or 5y^2
Answers
Answer:
3y^2+2y
Step-by-step explanation:
6x - 2 - 3x = 16 steps ?
Answers
Answer:
i am very sure but i think this the answer
Step-by-step explanation:
3x • (2x - 1)
[tex]\bold{Explanation:}[/tex]6x-2-3x=16
3x-2=16
3x=18
x=6
A pool is being drained at a rate of 7200 gallons per hour. What is this rate in gallons per minute?
HINT: 60 minutes = 1 hour
Answers
Answer:
120 gallons per minute