A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?

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07-04-2021
Mathematics

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A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?

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Аноним Аноним · Answer 1 · 2021-04-08T09:43:39-04:00

Answer:

8

Step-by-step explanation:

The degree of a polynomial refers to the term with the highest exponent. Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5. When you multiply

x3*x5 = x3+5 = x8.

So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.

Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second. So you'll have something like ax3 * bx5. That will result in x3*x5=x8, so your product will have degree 8.

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