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Polynomial division

Polynomial division is where we take a polynomial (an expression made up of only positive whole number powers of ) and divide it by another polynomial.

For example: .

Just like how we can use the grid method to multiply polynomials (also known as ‘expanding brackets’), we can also use it to divide polynomials.

  • Add the thing we are dividing by () to the left side of the grid.

We know that we must have an term in the top-left of the main grid area (as there will only be one multiplication which makes a term with an in it).
We also know that we have a in the bottom-right of the main grid area (as there will only be one multiplication which makes a term without an in it).

Next, we can fill in the rest of the grid by looking at what terms we need to make.

TODO: complete this example