Rich example

## Problem

How can we use the multiplication grid method to help us factorise quadratics?

How can we factorise $6x^2+7x+2$ using a multiplication grid?

Here are a few quadratic expressions you can use for practising this method.

1. $4x^2+7x+3$

2. $3x^2+13x-10$

3. $6x^2-5x+1$

4. $4x^2-2x-12$

5. $2x^2-3xy-2y^2$

#### Reflecting

We filled in the outside of the grid by finding the highest common factor of the first column. Did we need to use the first column or could we have used the first row? Could we have used another row or column? Can you explain your reasoning.

How does this method of factorising quadratics compare to other methods you know?

You may wish to explore these ideas further in Factorisable quadratics.