Question

Find the remainder when 3 + 3 2 − 3 + 1 is divided by + 2​

Answer 1

Answer:

Dividing x3+3x2+3x+1 by 5+2x So, x3+3x2+3x+1 is dividend and 5+2x is

divisor.

Put, 5+2x=0

.. x=2-5

Let p(x)=x3+3x2+3x+1

Putting x=2-5

p(2-5)=(2-5)3+3(2-5)2+3(2-5)+1

=8-125+475-215+1

=8-125+150-60+8

=8-27

Thus, reminder of p(2-5)=8-27.

.. We will get reminder

as 8-27 when x3+3x2+3x+1 is divided by 5+2x.