Find the x intercepts of f (x) = - 16x^2 + 22x + 3

That is where the line crosses the x axis or where y=0

0=-16x^2+22x+3

we gon do grouping

ac method

-16 times 3=-48

what 2 numbers multiply to get - 48 and add to get 22

-2 and 24

0=-16x^2-2x+24x+3

group

0 = (-16x^2-2x) + (24x+3)

undistribute

0=-2x (8x+1) + 3 (8x+1)

undistribute

0 = (8x+1) (-2x+3)

set eaqual to 0

8x+1=0

8x=-1

x=-1/8

-2x+3=0

3=2x

3/2=x

x intercepts ate x=-1/8 and x=3/2