Question

Divide the binomial by the monomial. Write the quotient and the remainder.

(5) 8a³ – 12a²; 2a²

Answer 1

(8a³ – 12a² ) ÷ 2a² can be shown as:

$$\begin{gathered} 4a-6 \\ 2a^2\overline{)8a^3-12a^2} \\ \underline{-8a^3} \\ 0-12a^2 \\ -12a^2 \\ \underline{+} \\ \underline{0} \end{gathered}$$

So, the quotient of the division is 4a – 6 and the remainder is 0.