Question

In division algorithm i.e Dividend = Divisior X Quotient +Remainder, if the divisor is a linear polynomial i.e degree is I, what will be the value of the remainder? ​

Answer 1

Answer

>>Remainder Theorem

>>Verify division algorithm i...

Question

Bookmark

Verify division algorithm i.e, Dividend=Divisor×Q

4y

3

+8y+8y

2

+7 by 2y

2

−y+1.

Medium

Open in App

Open_in_app

Solution

verified

Verified by Toppr

2y

2

−y+1

4y

3

+8y+8y

2

+7

⇒

2y

2

−y+1

4y

3

+8y

2

+8y+7

ref. image

Q=2y+5,R=11y+2

Divided = (Divisor × Quotient ) + Remainder

=((2y

2

−y+1)×(2y+5))+11y+2

=4y

3

−2y

2

+2y+10y

2

−5y+5+11y+2

=4y

3

+8y

2

+8y+7

solution