# When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can always obtain a quotient Q(x) and a remainder R(x). State the two forms in which the result of this division can be written.

When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can always obtain a quotient Q(x) and a remainder R(x). State the two forms in which the result of this division can be written.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

The two forms in which the result of this division can be written are
$\frac{P\left(x\right)}{D\left(x\right)}=Q\left(x\right)+\frac{R\left(x\right)}{D\left(x\right)}$
and
$P\left(x\right)=D\left(x\right)Q\left(x\right)+R\left(x\right)$
Result:
$\frac{P\left(x\right)}{D\left(x\right)}=Q\left(x\right)+\frac{R\left(x\right)}{D\left(x\right)}$
$P\left(x\right)=D\left(x\right)Q\left(x\right)+R\left(x\right)$