The area of a rectangle is expressed as

Question

x^2 - 3x + 2
______________

2x^2 - 7x + 3

Determine its length if its width is:

x^2 - x - 2
______________

2x^2 - 3x - 2

Thank you so much!! :))

Answer 1

length = area / width

(x^2 - 3x + 2)/(2x^2 - 7x + 3) ÷ ((x^2 - 3x - 2)/(2x^2 - 3x - 2))
= (x^2 - 3x + 2)/(2x^2 - 7x + 3) * ((2x^2 - 3x - 2)/(x^2 - 3x - 2)
again , factor it
= (x-2)(x-1)/((x-3)(2x-1)) * (2x+1)(x-2)/((x-2)(x+1))
= ....

Answer 2

what's the answer? sorry i still find it hard to find the answer :\