Question

Find the quotient when x⁵- x⁴+3x³-3x+3 is divided by x² +1​

Answer 1

Answer:

By the remainder theorem,

(x-2)=0

x=2

p(x)=x^{4} -3x^{3} +2x^{2} +x-1p(x)=x

4

−3x

3

+2x

2

+x−1

p(0)=16-24+8+2-1

=1

Hence the remainder is 1