Remainder Theorem

Remainder Theorem: When polynomial p(x) is divided by x-t, the remainder is the constant p(t);

Remainder Theorem (extended form): When polynomial p(x) is divided by sx-t, the remainder is the constant p(t/s)

Worked Examples

1. Find the remainder when 2x³-3x²+x-5 is divided by x-3;
2. Find the remainder when x³-2x²+3x-5 is divided by 3x-1;
3. When 4x² – 6x + a is divide by 2x – 1, the remainder is 2. Find the value of a.

Exercise

Answers

Worked solutions