# The remainder theorem

### The Remainder Theorem

In the video tutorial I demonstrate this.

The Remainder Theorem Rule to remember: If a polynomial [latex]f(x)[/latex] is divided by [latex](ax-b)[/latex] then the remainder is [latex]{f \left( \dfrac{b}{a} \right )}[/latex]. In the video tutorial I demonstrate this. Finding the remainder when a cubic polynomial is divided by x+1 In the vide

## Finding the remainder when a cubic polynomial is divided by x+1

In the videos that follow, I run through some typical remainder theorem questions that you are likely to encounter. I start with this example.

#### Example in the video

- Find the remainder when is divided by

The Remainder Theorem Rule to remember: If a polynomial [latex]f(x)[/latex] is divided by [latex](ax-b)[/latex] then the remainder is [latex]{f \left( \dfrac{b}{a} \right )}[/latex]. In the video tutorial I demonstrate this. Finding the remainder when a cubic polynomial is divided by x+1 In the vide

## Finding the remainder when a quartic polynomial is divided by 2x-1

#### Example in the video

- Find the remainder when is divided by

The Remainder Theorem Rule to remember: If a polynomial [latex]f(x)[/latex] is divided by [latex](ax-b)[/latex] then the remainder is [latex]{f \left( \dfrac{b}{a} \right )}[/latex]. In the video tutorial I demonstrate this. Finding the remainder when a cubic polynomial is divided by x+1 In the vide

## Finding constants in a polynomial given the remainders

The Remainder Theorem Rule to remember: If a polynomial [latex]f(x)[/latex] is divided by [latex](ax-b)[/latex] then the remainder is [latex]{f \left( \dfrac{b}{a} \right )}[/latex]. In the video tutorial I demonstrate this. Finding the remainder when a cubic polynomial is divided by x+1 In the vide

MichaelExamSolutionsKid2017-05-31T09:30:48+00:00