Question 100121: A rectangle has an area of X^3 – 6X^2 + 15X – 28 square feet. Its width is X – 4 feet.
Answer by AlgebraII(1)   (Show Source):
You can put this solution on YOUR website! Your first step is to look at the equation for the area of a rectangle which is
Area=length times width
So your problem would look like this...
x^3-6^2+15x-24= x-4 times l (l=to length)
you want to end up with just l on one side, so you get rid of the x by subracting from both sides, which would look like this...
x^3-6^2+14x-24 notice that 15 x changed to 14 x because you subtracted an x.
now to get rid of the 4 you divide on both sides, and it will look like this...
x^3/4-6x^2/4+14x/4-24/4 if you simplify you´d end up with
x^3/4-3x^2/2+7x/2+6 and that would be your answer.
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