Question

division of polynomial example is 12p3-6p2+4p÷3p2​

Answer 1

Division of the polynomial $12p^{3}-6p^{2}+4p$ by $3p^{2}$ gives quotient $4p-2$ and remainder $4p$.

Step-by-step explanation:

Refer to the attachment image for the solution using division rule.

• quotient is $4p-2$
• remainder is $4p$

NOTE:

We can also do simple division of the terms:

$\quad\dfrac{12p^{3}-6p^{2}+4p}{3p^{2}}$

$=\dfrac{12p^{3}}{3p^{2}}-\dfrac{6p^{2}}{3p^{2}}+\dfrac{4p}{3p^{2}}$

$=\dfrac{12}{3}\dfrac{p^{3}}{p^{2}}-\dfrac{6}{3}\dfrac{p^{2}}{p^{2}}+\dfrac{4}{3}\dfrac{p}{p^{2}}$

$=4p-2+\dfrac{4}{3p}$