Question

Divide $15y^4+16y^3+\frac{10}{3}y-9y^2-6$ by 3y - 2. Write down the co-efficients of the terms in the quotient.

Answer 1

Quotient $=5y^3+\frac{26}{3}{y}^2+\frac{25}{9}y+\frac{80}{27}$

Remainder $=\frac{-2}{27}$

Co-efficient of each term in the quotient are

co-efficient of $y^3$ is 5

Co-efficient of $y^2$ is $\frac{26}{3}$

co - efficient of y is $\frac{25}{9}$

and constant term = $\frac{80}{27}$