SOLUTION: Im having trouble understanding this one could you explain how to get the answer please?: A rectangle has area of x^2+3x-18 and width x-3 find the factor for the length

Question 284109: Im having trouble understanding this one could you explain how to get the answer please?:
A rectangle has area of x^2+3x-18 and width x-3 find the factor for the length
Found 2 solutions by richwmiller, oberobic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
You either have to factor x^2+3x-18 into (x-3) and something else or you have to divide x^2+3x-18 by (x-3)
Since we have -18 (-3*6=-18) I would guess (x+6) is the other factor.
Use foil to multiply (x-3)*(x+6) to verify.

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!

.

.

.
Since

We can rearrange to say that
,
which suggests you divide A/W (that is, polynomial division).
.
But you may be able to factor the equation to advantage.
.

.
So substituting what we know
.

.
Which means

.
Done
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