divide one polynomial by another
, first try writing it as a rational expression
and finding common factors. If you can't find a common factor, then use polynomial
Write as a rational expression, and factor the numerator.
Cancel the common factor.
We can factor the dividend as (
– 2), but that
doesn't help us in this case. Instead, we'll use long division.
Write using the long division symbol. Divide the leading terms,
Multiply and subtract.
Bring down the –12. Again, divide the leading terms,
Write the quotient with remainder.
Find the quotient.
If the area of the rectangle shown is
+ 9, find an expression for the missing length.