Step-by-step explanation:
The way that you would multiply polynomials is pretty easy. Say we had a binomial and a trinomial and we wanted to multiply them. As an example, we will use (2x + 4) (x^2 + x + 4).
You have to multiply each number with each other number. For example, we would multiply 2x by x^2, 2x by x, and 2x by 4 to get the first part of the bigger equation. These come out to being 2x^3 + 2x^2 + 8x when multiplied and added.
Then, you have to do the same thing for the 4 in the binomial. Multiply 4 by x^2, 4 by x, and 4 by 4 to get the second part of the bigger equation. These come out as 4x^2 + 4x + 16 when added and multiplied.
After both of those are done, simply add the two parts together and simplify.
2x^3 + 2x^2 + 8x + 4x^2 + 4x + 16
2x^3 + 6x^2 + 12x + 16
That is your example answer, and that is how you multiply polynomials.
