Question

Divide and write the answer in the form:

Dividend = divisor × quotient + remainder

(7) (15y⁸ + 10y⁶) ÷ y⁶

Answer 1

(15y⁸ + 10y⁶) ÷ y⁶ can be shown as:

$$\begin{gathered} 15y^2+10 \\ {y}^6\overline{)15y^8+10y^6} \\ \underline{-15y^8} \\ 0+10y^6 \\ +10y^6 \\ \underline{-} \\ \underline{0} \end{gathered}$$

Dividend = divisor × quotient + remainder
∴ 15y⁸ + 10y⁶ = y⁶ × (15y² + 10) + 0