This week we began our unit on polynomials. I learned how to group like terms and find specific degrees, coefficients, and kinds of polynomials (monomial, binomial, etc.) One of the things I learned on top of this was how to multiply polynomials using various methods. I will be showing how to use area cubes/squares and FOIL/claw method.
To use the area square method, you can take the specific terms and lay them outside of a square. The square is divided into 4 smaller squares, and outside of the squares lie the polynomials terms. One on the left side of the square, and one on the top. You put one piece of the term over one smaller square, and another over the other.
The squares align so that you can do the multiplication step by step, the two in the corner, both corners, top and bottom corners, etc.
Once you have all of the terms from the multiplication, you will most likely have like terms. You would need to group these like terms together to find the final answer.
The FOIL method stands for the order in which you multiply the numbers. F – first, O – outside, I – inside, L – last.
Just like the area square method, you multiply them, step by step to get the answer. But once again, you may have like terms that need to be grouped to find the final answer.
The FOIL method can also be called the claw method because of the way the lines look. The lined are made to visualize which terms multiply with which.