For the function y = (x – 4)(2x + 3)
the 2 x-intercepts are

x=4       -3/2 =x

Step-by-step explanation:

y = (x – 4)(2x + 3)

To find the x intercepts set y=0 and solve for x

0 = (x – 4)(2x + 3)

Using the zero product property

0= x-4    0= 2x+3

x=4        -3 = 2x

x=4       -3/2 =x

We can find the x intercepts by setting this equation equal to 0.

So we have:

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

So we get:

x-4 = 0, x = 4

2x+3 = 0, x = -3/2

The x intercepts are 4 and -3/2

Hope this helps!

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