# Multiplication of Integers in a Polynomial

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Multiplication of integers in a polynomial always requires that you follow the standard rules of multiplication. Learn about multiplication of integers in a polynomial with help from a mathematics educator with over a decade of experience in this free video clip.

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## Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about the multiplication of integers in a polynomial. Now, when it comes to multiplying integers in a polynomial, you're just following the standard rules of multiplication and going from there, because the integers in a polynomial really don't affect too much, as long as you apply the rules. So, let's give a example and you'll see how this works. If you have three X cubed times a polynomial, let's just say, five X squared minus ten X plus four, you're just multiplying and distributing and multiplying the integers along the way. So, for example, when you're multiplying three X cubed times five X squared, you're multiplying the three and the five. It's going to be fifteen. X cubed times X squared, that's going to be X to the fifth. Now, positive times a negative, that's going to give you negative. And so, three X cubed times ten X, three times ten, that's going to give you thirty, and then X cubed times X is going to be X to the fourth. Now, positive times a positive is a positive. So, three X cubed times four, multiply the three and the four. It's going to give you twelve, and then the X cubed is just kind of along for the ride here. So, when it comes to multiplying integers in a polynomial, the rules are pretty straightforward. Just follow the multiplication rules and you'll be set. So, I'm Jimmy Chang, and that's a brief glimpse on how to multiply integers in a polynomial.

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