One of the zeros of the polynomial function is 5.

f (x) = x4-4x3-21x2+100x-100

What is the factored form of the function?

f (x) = (x-5) (x+5) (x-2) 2

f (x) = (x-2) 2 (x-5) 2

f (x) = (x-5) (x+5) (x-2) (x+2)

f (x) = (x-2) (x+2) (x-5) 2

Question

Mathematics

Katelyn Brown

9 October, 23:37

One of the zeros of the polynomial function is 5.

f (x) = x4-4x3-21x2+100x-100

What is the factored form of the function?

f (x) = (x-5) (x+5) (x-2) 2

f (x) = (x-2) 2 (x-5) 2

f (x) = (x-5) (x+5) (x-2) (x+2)

f (x) = (x-2) (x+2) (x-5) 2

+1

Answers (1)

Know the Answer?

Liliana Herrera · Answer 1

The last term is - 100 so its either a or d.

Try a:-

(x^2 - 25) (x-2) (x - 2)

= x^2 - 25 (x^2 - 4x + 4)

= x^2 + 4x^3 + 4x^2 - 25x^2 + 100x - 100

= x^4 + 4x^3 - 21x^2 + 100x - 100

Its a.

One of the zeros of the polynomial function is 5.f (x) = x4-4x3-21x2+100x-100What is the factored form of the function?f (x) = (x-5) (x+5) (x-2) 2f (x) = (x-2) 2 (x-5) 2f (x) = (x-5) (x+5) (x-2) (x+2)f (x) = (x-2) (x+2) (x-5) 2

One of the zeros of the polynomial function is 5.

f (x) = x4-4x3-21x2+100x-100

What is the factored form of the function?

f (x) = (x-5) (x+5) (x-2) 2

f (x) = (x-2) 2 (x-5) 2

f (x) = (x-5) (x+5) (x-2) (x+2)

f (x) = (x-2) (x+2) (x-5) 2