Algebra-1

Given the expression 4x² - 7x - 2, we have:
a = 4
b = -7
c = -2

We need to find two numbers m and n such that their product is ac (4 * -2 = -8) and their sum is b (-7).

The numbers that satisfy these conditions are -8 and 1:

m = -8
n = 1

Now, let's rewrite the middle term (-7x) using these values:
-7x = -8x + x

Now we can rewrite the quadratic expression by splitting the middle term:
4x² - 8x + x - 2