Mathmatical Studies - Unit 2 > Factor / Remainder
 
 

Remainder Theorem

For polynomials

If f(x) is divided by x - a, the remainder is f(a)

Example

Find the remainder when 3x3 + 7x2 + 2x + 1 is divided by x - 2

Remainder should be f(2)

= 3(2)3 + 7(2)2 + 2 x 2 + 1 =57