Question

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder.

p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2

Answer 1

Given polynomials are 

p(x) = x³ – 3x² + 5x – 3 and 

g(x) = x² – 2 

Here, dividend and divisor are both in standard forms. 

So, we have

∴ The quotient is x – 3 and the remainder is 7x – 9.