Find the quotient and the remainder when:
f(x) = x4 – 3x2 + 4x + 5 is divided by g(x) = x2 + 1 – x.
It is given in the question that,
f (x) = x4 – 3x2 + 4x + 5
And, g (x) = x2 + 1 – x
Hence,
Quotient q (x) = x2 + x - 3
Remainder r (x) = 8