Question

Divide and write the quotient and remainder.

(6) (7x⁴ – 21x² + 6) ÷ 7x²

Answer 1

(7x⁴ – 21x² + 6) ÷ 7x² can be shown as:

$$\begin{gathered} x^2-3 \\ 7x^2\overline{)7x^4-21x^2+6} \\ \underline{-7x^4} \\ 0-21x^2 \\ -21x^2 \\ \underline{+} \\ \underline{0+6} \end{gathered}$$
So, the quotient of the division is x² – 3 and the remainder is 6