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PLZ HELP WILL GIVE BRAINLIEST NEED ASAP

\Which statements are true about the polynomial function?

f(x)=x^3−x^2−4x+4

Select each correct answer.




f(x)=0 when x=−1 .

(x−1) is a factor of f(x) .

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

f(−1)=0

Respuesta :

MrHelpful

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



avigo4264

Answer:

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

(x−1)  is a factor of  f(x) .

Step-by-step explanation:

complete test attached

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