Question

the zeros of polynomial function g are -5, -1, and 7. complete the factors to write an equation for function g. assume that g has only three zeros and three factors. enter the correct answer in the box. g(x) = (□)(□)(□)

Explanation:

Step1: Relate zero to factor

If $r$ is a zero, factor is $(x-r)$.
For zero $-5$: $x - (-5) = x+5$

Step2: Find second factor

For zero $-1$: $x - (-1) = x+1$

Step3: Find third factor

For zero $7$: $x - 7 = x-7$

Answer:

$g(x)=(x+5)(x+1)(x-7)$