Question

Determine the x-intercepts of the quadratic funtion given in factored form f(x)=4(2x-1)(3x+5)

Answer 1

x=1/2, x=-5/3

Explanation:

The x intercepts are where y =0

f(x)=4(2x-1)(3x+5)

0 = 4(2x-1)(3x+5)

Using the zero product property

2x-1 =0 and 3x+5 =0

2x-1+1 =0+1 3x+5-5=0-5

2x=1 3x=-5

2x/2 = 1/2 3x/3 =-5/3

x = 1/2 x = -5/3