Find the value of p for which x³+4x²-px+8 is exactly divisible by (x-2) is_____.​

Answers

Answer 1

Given Polynomial P(x) = x^3+4x^2-px+8

Given that P(x) is exactly divisible by (x-2) then by

factor theorem it is a factor and P(2) = 0

⇛ (2)^3+4(2)^2-p(2)+8 = 0

⇛8+4(4)-2p+8 = 0

⇛ 8+16-2p+8 = 0

⇛ 32-2p = 0

⇛32 = 2p

⇛ 2p = 32

⇛ p = 32/2

⇛ p = 16

Answer:- The value of p is 16.

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Similar Questions

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...

https://brainly.com/question/12852511?referrer

Answer 2

Answer:

16.

Step-by-step explanation:

By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:

f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0

-2p + 32 = 0

p = 16.


Related Questions

a man earn $6 in two hours. how much does he earn in 5 hours​

Answers

Answer:

$15

Step-by-step explanation:

6 divided by 2 is 3

3 multiplied by 5 is 15

a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??

Answers

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else

Answers

Answer:

7 by 21 is the answer so 1 by 3 and that will be 3

Explaining it thoroughly and you will be mark as Brainiest…

Answers

Answer: It says it right there

Step-by-step explanation:

create a video explaning

Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.

Answers

Answer:

no.

Step-by-step explanation:

no. thanks.

..........

..

Which statement about perfect cubes is true?

a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3

Answers

☆Answer : a.) false B.) false c.) True d.) false

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides​

Answers

Answer:

6 cm

8 cm

10 cm

Step-by-step explanation:

3:4:5

3 + 4 + 5 = 12

total 12 parts

24cm / 12 = 2cm per part

3 * 2 = 6 cm

4 * 2 = 8 cm

5 * 2 = 10 cm

What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16

Answers

the answer is 4 since 4 is common in all the three digits

B).4

Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept

Answers

Answer:

y=5x+200

Step-by-step explanation:

x=number of handbags

y-intercept=200

slope=5

please give me brainly since I'm trying to level up!

Find the perimeter. Simplify your answer.

Answers

Answer:

wild guess, 50

Step-by-step explanation:

10s+3+10s+3+3s+9+3s+9= 50

what would this one be?

Answers

Answer:

I believe it's 6/10

Step-by-step explanation:

3/5 times 2 = 6/10

points (4, 3) and (0, 6) Mid point

Answers

Answer:

(3.5,3)

Step-by-step explanation:

Midpoint= (x¹+x²/2, y¹+y²/2)

x¹=4

x²=3

y¹=0

y²=6

Put your values into the formula

(4+3/2,0+6/2)

(7/2, 6/2)

(3.5,3)

Please man, I need this answer as fast as possible. Thank You!!!!

Answers

Answer:

-5f

and

2g

Step-by-step explanation:

simplify the expression.

20a^4 × (1/2 a^3 )^2

Answers

Answer:

5a^10

Step-by-step explanation:

Which graph represents x ≥ 2?

Answers

Answer:

...

Step-by-step explanation:

For each gallon of gas Sean puts in his truck, the truck will go $\frac{8}{3}$ miles. Suppose Sean's tank is empty, and he puts in $\frac{7}{5}$ gallons. How far can Sean go with his truck?

Answers

Answer:

56/15

Step-by-step explanation:

All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15

So the answer is 56/15.

Answer:

56/15

Step-by-step explanation:

11(5-8=-11 5-8=-1. S=

Answers

divided by 11 on both sides
and s=7

Help me urgently i have to submit a t today

Answers

Answer:

6/5

Step-by-step explanation:

He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.

1,2
2,6
3,12
4, 20

Is the function Linear or Nonlinear, and explain why

Answers

Answer: Nonlinear

Explanation:

The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.

However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.

Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).

Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6

Answers

Answer:

38 - 32 = 6

Step-by-step explanation:

subtract the question

Solve. −4x−21=91 Enter your answer in the box. x =

Answers

Answer:

X = -27

Explain your answer:

Answer:

x = -28

Explanation

K12

What is 45.5% in simplest form?

Answers

Answer: 45.5/100 = 455/1000

Step-by-step explanation:

Step-by-step explanation:

45.5% in its simplest form is

[tex] \frac{91}{2} [/tex]

but 45.5% =

[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]

Select the function that is odd.

A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)

Answers

The answer is A. F(x)= sin(x)

Question.[Mathematics]

6³ + 6³ = ​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = 432[/tex]

Step-by-step explanation:

[tex] {6}^{3} + {6}^{3} [/tex]

collect like terms

[tex]2 \times {6}^{3} [/tex]

evaluate the power

[tex]2 \times 216[/tex]

multiply the number

[tex] = 432[/tex]

hope it helps

[tex] \: \: \: \: \: \: [/tex]

6^3(6•6•6)=6•6=
36•6=216
6^3(6•6•6)=6•6=
36•6=216
216+216= 432

5x-4=9x+6 please put explanation

Answers

1- first more the all the variables to the left side and change the sign.
So: 5x-9x=6+4
2- add/ subtract the terms. So: -4x=10
3- divide both sides by -4 to find x
So: -4x/-4 =10/-4
The answer will be: x= -2.5

What is Arithmetic ?

Answers

Answer:

Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Answer:

The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.

Step-by-step explanation:

how to solve:
10 x -7 = 4x + 5

Answers

~one variable linear equation

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

10x - 7 = 4x + 5

= 10x - 7 - 4x = 5

= 10x - 4x = 5 + 7

= 6x = 5 + 7

= 6x = 12

= x = 12 ÷ 6

= x = 2 ✔️

~ nice to help you ^^

10x-7=4x+5
+7=.....+7
10x=4x+12
=-4x
6x=12
/6x =/6
X=2

8x -2 + (4x - 1)(4x+1) = 0

Answers

Answer:

8x - 1 + 16x²

Step-by-step explanation:

8x - 2 + (4x - 1)(4x+1) = 0

=> 8x - 2 + 16x² + 4x - 4x - 1

=> 8x - 2 + 16x² - 1

=> 8x - 1 + 16x²

Therefore, 8x - 1 + 16x² is our answer

how to simplify 3x - 20

Answers

Answer:

thats as simple as it gets unless you meant to write 3x=-20, then it would be x = 20/3

Answer:

This cannot be simplified

Step-by-step explanation:

3x-20 is the answer

how to slove and answer 11r+60=16

Answers

Answer:

r= -11

Step-by-step explanation:

11r + 60=16

we can see that 11x r + 60 = 16

but thats the problem ! we don't know what r is so

lets get r on its own

11r + 60 =16

subtract 60 from each side

60 -60 =0

left side = 11r

16-60 = -44

right side = -44

11 r = -11

divide both sides by 11

11r divided by 11 = r

-44 divided by 11 = -11

r=-11

I answered your question so plz mark as brainliest!xxxx

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