Question

Find the remainder obtained p(x)=2x power 3+ x power2_2x-1,byx+1

Answer 1

Answer:

Given p(x)=x

3

+1

x+1

x

3

+1

=

x+1

(x+1)(x

2

−x+1)

=x

2

−x+1

Therefore, p(x) is divisible by x+1.

Hence, the remainder is zero.