select the correct answer. if function g has the factors (x - 7) and (x + 6), what are the zeros of function…

select the correct answer. if function g has the factors (x - 7) and (x + 6), what are the zeros of function g? a. -7 and 6 b. -6 and 7 c. 6 and 7 d. -7 and -6

select the correct answer. if function g has the factors (x - 7) and (x + 6), what are the zeros of function g? a. -7 and 6 b. -6 and 7 c. 6 and 7 d. -7 and -6

Answer

Explanation:

Step1: Recall zero - factor property

The zero - factor property states that if (ab = 0), then either (a=0) or (b = 0). If (g(x)) has factors ((x - 7)) and ((x + 6)), then (g(x)=(x - 7)(x + 6)). To find the zeros, we set (g(x)=0), so ((x - 7)(x + 6)=0).

Step2: Solve for (x)

Set each factor equal to zero. For (x-7 = 0), we add 7 to both sides of the equation: (x=7). For (x + 6=0), we subtract 6 from both sides of the equation: (x=-6).

Answer:

B. -6 and 7