 This video is called multiply a binomial by a trinomial. I know I've got a binomial here because there are two terms and a trinomial here because I have three terms. The key is again just make sure that everything in the first polynomial gets combined or multiplied with everything in the second. So you can start by simply doing remembering that the 4x squared has to distribute with the 2x and with the negative 3. So that will give us an 8x to the third or 8x cubed minus 12x squared. Now I'll take my positive x, my second term, and multiply it with everything in the binomial. So I'll have a plus 2x squared and a negative 3x and then to finish off I just have one more step to go and everything will be distributed. So the key is that negative 6x has to multiply with the 2x and with the negative 3. So that will give me a negative 12x plus 18. So now the only thing I have to do to finish this job is to combine like terms. So I've got an 8x to the third and nothing else is raised to the third so that will stay as is. I've got a negative 12x squared, a positive 2x squared to become a negative 10x squared I've got a minus 3x and a minus 12x which would combine to be a negative 15x and then lastly I've got a plus 18 at the end. Now all my like terms are combined and I have an answer in standard form with an exponent of 3, 2, 1 and my constant. Example. This one again, multiplying a binomial by a trinomial. You just have to make sure that everything in the first polynomial multiplies with everything in the second. So the 6n is going to have to multiply with the 2n squared, the positive 1n and the 7. So that gives us 12n to the third plus 6n squared plus 42n. So that takes care of the 6n. Now what I have to take care of is making sure the negative 8 gets multiplied by everything. So I have negative 8 times 2n squared, which will be a negative 16n squared. I'll have to go down to another row. Negative 8 times n is a negative 8n and negative 8 times 7 is a negative 56. So now let's go ahead and combine like terms. I'm going to have to be really careful because I have two rows worth of work, but I notice that the 12n to the third is my only term with an exponent of 3. So I'll write that down. Then I have a positive 6n squared and a negative 16n squared, which will combine to a negative 10n squared. Plus 42n minus 8n will give me a positive 36n and then to finish I've got a constant of negative 56. So again my answer is in standard form. I've got my exponent of 3, 2, 1 in a constant. So from left to right it is going down.