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Svetradugi [14.3K]
3 years ago
11

Given a polynomial f(x), if (x + 2) is a factor, what else must be true?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

c=-2

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

f(-2)=0

Therefore, the correct option is d.

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