Question

H(x)=-x^2+10x-16 Find the 2 x-intercepts

Answer 1

x=2 x=8

Explanation:

h(x)=-x^2+10x-16

Set this equal to 0

0=-x^2+10x-16

Divide by -1

0/-1=x^2-10x+16

0=x^2-10x+16

Factor

What two numbers multiply to 16 and add to -10

-2*-8 = 16

-2+-8 = -10

0=(x-2) (x-8)

Using the zero product property

x-2=0 x-8=0

x=2 x=8

These are the x intercepts