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If $x+7$ is a factor of the polynomial function $g$ , what is the value of $g(7)$ ?

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Find limits using power and root laws

Full solution

Q. If

x+7

is a factor of the polynomial function

g

, what is the value of

g(7)

?

Understand Relationship Factors Polynomial: Understand the relationship between factors and polynomial functions. $\newline$ If $x+7$ is a factor of the polynomial function $g$ , then by the Factor Theorem, $g(-7) = 0$ .
Substitute $x$ Find $g(-7)$ : Substitute $x = -7$ into the function $g$ to find $g(-7)$ . $\newline$ Since $x+7$ is a factor, we know that $g(-7)$ must equal $0$ . $\newline$ $g(-7) = 0$
Realize Correct Value Needed: Realize that the question asks for $g(7)$ , not $g(-7)$ . We need to correct the value we are looking for. The question asks for $g(7)$ , not $g(-7)$ .

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