Answer:
5x-8
Step-by-step explanation:
im assuming you mean 20x^2 instead of 20x2 bc when you copy and paste it usually gets rid of the "^".
the area of a rectangle is length*width
so, to find the width, we have to solve the equation (4x+1)*width=20x^2-27x-8
the goal is to find (20x^2-27x-8)/(4x+1)
there is many ways to solve this: long division, synthetic division (easiest way)
but I'll just do guess and check
we know that the answer is in the form ax+b
we also know that b*1=-8 bc that's just how foiling works
We also know 4a=20
so, the answer is 5x-8
obviously you can check this answer if you are unsure of it being correct
(4x+1)(5x-8) = 20x^2-32x+5x-8 = 20x^2 - 27x - 8
so it does work
