Question

Divide using the division algorithm. Write your answer in the form +Rwhere the degree of R is less than the degree of D.Dy² - 16y + 4

Answer 1

$\text{y - 4 + }\frac{0}{y\text{ + 4}}$

Explanation:$\begin{gathered} \text{Divide y}^2\text{ - 16 by y + 4 using division algorithm:} \\ \frac{y^2-16}{y\text{ + 4}} \\ \\ \text{The divisor: y + 4} \end{gathered}$

Doing the division algorithm:

$\begin{gathered} \frac{y^2-16}{y\text{ + 4}}\text{ = Q + }\frac{R}{D} \\ Q\text{ = quotient} \\ R\text{ = remainder} \\ D\text{ = division} \\ \\ =\text{ y - 4 + }\frac{0}{y\text{ + 4}} \end{gathered}$