Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(2) (m³ – m²) ÷ m²

Answer 1

(m³ – m²) ÷ m² can be shown as:

$$\begin{gathered} m-1 \\ {m}^2\overline{)m^3-m^2} \\ \underline{-m^3} \\ 0-m^2 \\ -m^2 \\ \underline{+} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ m³ – m² = m² × (m – 1) + 0