Question

What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?

Answer 1

9514 1404 393

Answer:

x in {-6, -2, 4}

Explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

x +6 = 0 ⇒ x = -6

x -4 = 0 ⇒ x = 4

x +2 = 0 ⇒ x = -2

The zeros of the function are the x-values -6, -2, and 4.