Question

What is an equivalent form of the function f(x) = x^2 +8x+15 that reveals the zeros of the function? A. y= (x-3)^2-5 B. f(x) = (x-3)^2-5 C. f(x) = (x+3)(x+5)

Answer 1

ANSWER

C. f(x) = (x+3)(x+5)

EXPLANATION

The given function is

$f(x) = x^2 +8x+15$

The factored form of the function reveals the zeros of the function.

From the factored form, we apply the zero product principle to get the zeros.

From the given options, the factored form of the polynomial is

$f(x) = (x+3)(x+5)$