Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(3) (3p³ + 6p²) ÷ 3p²

Answer 1

(3p³ + 6p² ) ÷ 3p² can be shown as:

$$\begin{gathered} p+2 \\ 3p^2\overline{)3p^3+6p^2} \\ \underline{-3p^3} \\ 0+6p^2 \\ +6p^2 \\ \underline{-} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ 3p³ + 6p² = 3p² × (p + 2) + 0