Is the binomial a factor of the polynomial function? f (x) = x3+3x2-16x-48

Select Yes or No for each binomial.

(x-3)

(x+2)

(x-4)

Question

Mathematics

Nigel Sanford

21 August, 22:55

Is the binomial a factor of the polynomial function? f (x) = x3+3x2-16x-48

Select Yes or No for each binomial.

(x-3)

(x+2)

(x-4)

+2

Answers (1)

Know the Answer?

Tiara Aguilar · Answer 1

(x-3) no

(x+2) no

(x-4) yes

Step-by-step explanation:

Plug in the root of each binomial to see if it is also a root of f (x).

f (3) = - 42

f (-2) = - 12

f (4) = 0

Of the choices available, only (x-4) is a factor of f (x).

Is the binomial a factor of the polynomial function? f (x) = x3+3x2-16x-48Select Yes or No for each binomial.(x-3)(x+2)(x-4)

Is the binomial a factor of the polynomial function? f (x) = x3+3x2-16x-48

Select Yes or No for each binomial.

(x-3)

(x+2)

(x-4)