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Finger [1]
3 years ago
13

Is the binomial a factor of the polynomial function f(x)=x^3+2x^2-16x-32

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Step-by-step explanation:

f ( 4 ) = 64 + 32 - 64 - 32 = 0

Thus x - 4 is a factor

Find other factors by synthetic division.

"""""""|1"""""2""""- 16"""""-32

"""""4|"""""""4""""""24""""""32

"""""""|1"""""6"" """""8""""""0

( x - 4 ) ( x ² + 6x + 8 ) = 0

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

x = - 2 , x = - 4, x = 4

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Free_Kalibri [48]

Answer:

28

Step-by-step explanation:

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Now you want to use the numbers given to you in the problem which is ₈C₂ and plug those into the equation

so your going to have something looking like this \frac{8!}{(8-2)!2!}  now if you have a calculator nearby and you plug in ₈C₂ your going to get 28 which is the answer.

hope this somewhat helps.

7 0
3 years ago
Simplify the expression. 6(6) + 6(4)<br> a. 60<br> b. 10<br> c. 16<br> d. 12
Brums [2.3K]
60

Simplifying;
36+ 24
=60
4 0
3 years ago
Read 2 more answers
If 843 units cost $16,421.40 to produce, how much does each unit cost to produce to the nearest cent?
Alex_Xolod [135]
<span>It costs 19.48, because $16,421.40 / 843 comes out to 19.479, and 19.479 rounds to 19.48. So the answer is B $19.48</span>
8 0
3 years ago
Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x),
harkovskaia [24]

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

5 0
3 years ago
Read 2 more answers
A. 16
kogti [31]

9514 1404 393

Answer:

  C.  8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

 8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0
3 years ago
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