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)

(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).

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step-by-step explanation:

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