The length of a rectangle can be represented by the expression x + 6. If the area of the rectangle is 2x ^ 2 + 8x - 24 , what is the expression for the width of the rectangle?

Answer 1

area = length * width
2x^2 + 8x - 24 = (x+6)(......)
you know the second bracket has to start with 2x, so ...
= (x + 6)(2x .....) , to get the -24 our second bracket must end with -4
= (x + 6)(2x - 4)

so the width is 2x-4

check by expanding my factors.