Question

Find the quotient and the remainder when 10 – 4x + 3x² is divided by x – 2.

Answer 1

Let us first write the terms of each polynomial in descending order (or ascending order). Thus the given problem becomes (3x² – 4x + 10) ÷ (x – 2)

∴ Quotient = 3x + 2 and Remainder = 14, i.e 3x² – 4x + 10 = (x – 2) (3x + 2) + 14 and is in the form

Dividend = (Divisor x Quotient) + Remainder