Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(5) (11y⁴ – 4y) ÷ y²

Answer 1

(11y⁴ – 4y) ÷ y² can be shown as:

$$\begin{gathered} 11y^2 \\ {y}^2\overline{)11y^4-4y} \\ \underline{-11y^4} \\ \underline{0-4y} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ 11y⁴ – 4y = y² × (11y²) + (–4y)