 how to multiply any two polynomials. What is the product of that binomial and that trinomial? Let us first consider this product. Now we know that this is 5 and this is 10, so this must be equal to 50. Let us see how this works. So 3 times 4 is 12, 3 times 7 is 21, 3 times negative 1 does minus 3, negative 3 so we take away 3 and now we distribute the 2, we first distribute the 3, now we distribute the 2, 2 times 4 is 8, plus 14, minus 2, and this is just 50. This works because it is based on the distributive property. I'm using integer decomposition because it is something that you can easily recognize and easily accept and easily apply to this other problem. So we have this binomial multiplied by that trinomial and it's applied the same technique. This first term will be multiplied by every member of that trinomial. So this is 12x cubed plus 21x squared minus 3x and then these 3 other terms plus 8x squared plus 14x minus 2. So we combine like terms and we have this is 12x cubed plus 29x squared plus 11x minus 2. Thank you.