This week in math we started our new unit on Polynomials. We learned names of equations we see like a binomial, monomial, trinomial. We also learned How to multiply and add equations to make sure we get the right answer.

Here is an example:

In this question we are told to use distributive property in order to figure out the answer. Distributive property is when you take everything in our first set of brackets and multiply it with everything in the second brackets.

In this photo i placed lines on our question to indicate what i’m multiplying together. All i did next was put the answers i got down below but that’s not our final step. Our final step is to take our “like terms” and add them together. In our equation we can add -5a and +21a together because they have the same variable. We can’t add the 3a squared simply because the variable has a 2 and is different from the ones without.

My final step was the take out like terms, add/subtract them together and write down our final answer.

One final thing we learned about was area diagrams. It gives u the same answer but it helps you visually see what’s happening.

Example: