Divide the polynomial p(x) = x 4 – 3x 2 + 4x + 5 by g(x) = x 2 + 1 – x and find the quotient and remainder.

Question

Philoid · Accepted Answer

We have, p(x) = x⁴ – 3x² + 4x + 5 and g(x) = x² – x + 1

By long division method we have,

Quotient = x² + x − 3

Remainder = 8

Divide the polynomial p(x) = x4 – 3x2 + 4x + 5 by g(x) = x2 + 1 – x and find the quotient and remainder.