Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(8) (27m⁵ – 16m²) ÷ 3m

Answer 1

(27m⁵ – 16m² ) ÷ 3m can be shown as:

$$\begin{gathered} 9m^4-\frac{16m}{3} \\ 3m\overline{)27m^5-16m^2} \\ \underline{-27m^5} \\ 0-16m^2 \\ -16m^2 \\ \underline{+} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
$\therefore 27m^5-16m^2=3m\times \left(9m^4-\frac{16m}{3}\right)+0$