Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(4) (5x⁴ + 5x²) ÷ 5x²

Answer 1

( 5x⁴ + 5x² ) ÷ 5x² can be shown as:

$$\begin{gathered} x^2+1 \\ 5x^2\overline{)5x^4+5x^2} \\ \underline{-5x^4} \\ 0+5x^2 \\ +5x^2 \\ \underline{-} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ 5x⁴ + 5x² = 5x² × (x² + 1) + 0