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Which statements are true about the polynomial function?

f(x)=x3−x2−4x+4

Select each correct answer.

 

f(x)  divided by (x−1)  has a remainder of 0.

f(x)=0  when  x=−1 .

f(−1)=0

(x−1)  is a factor of  f(x) .

 

 

What are the zeros of the polynomial function?

f(x)=x4−4x3−22x2+4x+21


Select each correct answer.

 

−3

−1

0

1

3

7

jbouyer  Nov 21, 2017
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1+0 Answers

 #1
avatar+79835 
+2

x = 1 is a root ....so....

 

f(x)  divided by (x−1)  has a remainder of 0     and

(x−1)  is a factor of  f(x)

 

 

 

x4−4x3−22x2+4x+21    we can write this as

 

x^4 - 4x^3  - 21x^2  - x^2 + 4x + 21

 

x^2 ( x^2 - 4x - 21)  -  1 ( x^2 - 4x - 21 )

 

( x^2 - 1) (x^2 - 4x - 21)

 

(x + 1) ( x - 1) (x - 7)(x + 3)

 

The zeroes  are     -1, 1, 7, -3

 

 

cool cool cool

CPhill  Nov 21, 2017

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