Question

What are the zeros of the polynomial function f(x) =x^2+5x-6

Answer 1

The zeros are x=1, x=-6

Explanation:

f(x) =x^2+5x-6

Factor: What two numbers multiply to -6 and add to 5

-1 *6 = -6

-1 +6 = 5

f(x) = (x-1) (x+6)

Using the zero product property

0 = (x-1) (x+6)

x-1 =0 x+6=0

x=1 x=-6

The zeros are x=1, x=-6