Advertisement Remove all ads

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

Advertisement Remove all ads

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?
Advertisement Remove all ads

APPEARS IN

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

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×