Find the quotient and the remainder when:
f(x) = x³ – 3x² + 5x –3 is divided by g(x) = x² – 2.

Question

Find the quotient and the remainder when: f(x) = x 3 – 3x 2 + 5x –3 is divided by g(x) = x 2 – 2.

Philoid · Accepted Answer

It is given in the question that,

f (x) = x³ – 3x² + 5x – 3

And, g (x) = x² – 2

Hence,

Quotient q (x) = x – 3

Remainder r (x) = 7x – 9

Find the quotient and the remainder when:f(x) = x3 – 3x2 + 5x –3 is divided by g(x) = x2 – 2.