This week in math ten we learnt about multiplying binomials, and polynomials. I think the most important thing we learnt this week was how to draw models when multiplying polynomials, these can be really helpful when you are doing an expression and need a visual way to simplify.

To multiply two polynomials: multiply each term in one polynomial by each term in the other. Once you do that add those answers together and simplify the expression. 

There are several visual ways to multiply a polynomial, you can draw models like an area model, you can also use algebra tiles to draw the expression:

When multiplying polynomials there are also less visual ways to multiply the terms:

Once you have multiplied, you must add like terms, this means combining terms that are the same, like -5x would combine with 8x but not with -4 because they are not like terms.

Knowing how to multiply polynomials by using models is important because you can visually see what you are adding and multiplying.