# Divide the First Polynomial by the Second in Each of the Following. Also, Write the Quotient and Remainder: 5y3 − 6y2 + 6y − 1, 5y − 1 - Mathematics

Sum

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

5y3 − 6y2 + 6y − 1, 5y − 1

#### Solution

$\frac{5 y^3 - 6 y^2 + 6y - 1}{5y - 1}$
$= \frac{y^2 (5y - 1) - y(5y - 1) + 1(5y - 1)}{(5y - 1)}$
$= \frac{(5y - 1)( y^2 - y + 1)}{(5y - 1)}$
$= ( y^2 - y + 1)$
$\text{Therefore,}$
$\text{Quotient = y^2 - y + 1 and remainder = 0}$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 8 Division of Algebraic Expressions
Exercise 8.5 | Q 1.3 | Page 15