Question

What are the zeros of f(x) =x^2-8x+15

Answer 1

The zeros are x=5 and x=3

Explanation:

x^2-8x+15

To find the zeros, we set the equation equal to zero

x^2-8x+15 =0

Factor the equation

What 2 numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

(x-5) (x-3) =0

Using the zero product property

x-5 =0 x-3 =0

x=5 x=3

The zeros are x=5 and x=3