Question

p(x) = x⁴–3x²+4x+5 g(x) = x²+1–x​

Answer 1

The polynomial p(x)=x 4 −3x 2 +4x+5 can be divided by g(x)=x 2 −x+1 as shown below:

Clearly, the quotient is x 2+x−3 and the remainder is 8.

Hence, Q=x 2 +x−3 and R=8.