If x-9 is a factor of the polynomial function f, what is the value of f(9) ? Choose 1 answer: (A) -9 (B) 0 (c) 9 (D) Cannot be determined from the given information

Apply Factor Theorem: If x-9 is a factor of the polynomial function f, then by the Factor Theorem, f(9) must be equal to 0 because plugging x = 9 into the function should yield a result of 0.Substitute x = 9: To find the value of f(9), we substitute x = 9 into the function f. Since x-9 is a factor, f(9) = 0*(anything) = 0, where ＂anything＂ represents the other factors of the polynomial.Find f(9): Therefore, the value of f(9) is 0, which corresponds to option (B).

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If
x-9 is a factor of the polynomial function
f, what is the value of
f(9) ?
Choose 1 answer:
(A) -9
(B) 0
(c) 9
(D) Cannot be determined from the given information

If $x-9$ is a factor of the polynomial function $f$ , what is the value of $f(9)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-9$ $\newline$ (B) $0$ $\newline$ (C) $9$ $\newline$ (D) Cannot be determined from the given information

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Math Problems

Algebra 2

Descartes' Rule of Signs

Full solution

Q. If

x-9

is a factor of the polynomial function

f

, what is the value of

f(9)

\newline

Choose

1

answer:

\newline

(A)

-9

\newline

(B)

0

\newline

(C)

9

\newline

(D) Cannot be determined from the given information

Apply Factor Theorem: If $x-9$ is a factor of the polynomial function $f$ , then by the Factor Theorem, $f(9)$ must be equal to $0$ because plugging $x = 9$ into the function should yield a result of $0$ .
Substitute $x = 9$ : To find the value of $f(9)$ , we substitute $x = 9$ into the function $f$ . Since $x-9$ is a factor, $f(9) = 0\times(\text{anything}) = 0$ , where $\text{＂anything＂}$ represents the other factors of the polynomial.
Find $f(9)$ : Therefore, the value of $f(9)$ is $0$ , which corresponds to option (B).