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:
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.
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
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
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.
Answer:
no.
Step-by-step explanation:
no. thanks.
..........
..
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
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!
Help me urgently i have to submit a t today
Answer:
6/5
Step-by-step explanation:
He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.
Which graph represents x ≥ 2?
Answer:
...
Step-by-step explanation:
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
Answer:
7 by 21 is the answer so 1 by 3 and that will be 3
What is 45.5% in simplest form?
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]
how to solve:
10 x -7 = 4x + 5
~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 ^^
Find the perimeter. Simplify your answer.
Answer:
wild guess, 50
Step-by-step explanation:
10s+3+10s+3+3s+9+3s+9= 50
1,2
2,6
3,12
4, 20
Is the function Linear or Nonlinear, and explain why
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).
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
K12
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
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
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
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
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answer:
5a^10
Step-by-step explanation:
11(5-8=-11 5-8=-1. S=
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
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)
how to simplify 3x - 20
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
Explaining it thoroughly and you will be mark as Brainiest…
Answer: It says it right there
Step-by-step explanation:
create a video explaning
5x-4=9x+6 please put explanation
Question.[Mathematics]
6³ + 6³ =
[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]
What is Arithmetic ?
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:
a man earn $6 in two hours. how much does he earn in 5 hours
Answer:
$15
Step-by-step explanation:
6 divided by 2 is 3
3 multiplied by 5 is 15
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?
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:
points (4, 3) and (0, 6) Mid point
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)
how to slove and answer 11r+60=16
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
what would this one be?
Answer:
I believe it's 6/10
Step-by-step explanation:
3/5 times 2 = 6/10
Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6
Answer:
38 - 32 = 6
Step-by-step explanation:
subtract the question
8x -2 + (4x - 1)(4x+1) = 0
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
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
the answer is 4 since 4 is common in all the three digits
B).4