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What happens to the degree of a polynomial when you multiply two polynomials?

User Valsidalv
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Final answer:

When you multiply two polynomials, the degree of the product is the sum of the degrees of the two polynomials.

Step-by-step explanation:

When you multiply two polynomials, you multiply each term of one polynomial by each term of the other polynomial. The degree of a term in the product is the sum of the degrees of the terms in the original polynomials that were multiplied.

For example, if you multiply a quadratic polynomial (degree 2) by another quadratic polynomial, the resulting product will have a degree of 4 because 2 + 2 = 4. Similarly, if you multiply a cubic polynomial (degree 3) by a linear polynomial (degree 1), the resulting product will have a degree of 4 because 3 + 1 = 4.

Therefore, when you multiply two polynomials, the degree of the product is the sum of the degrees of the two polynomials.

User Pulsara Sandeepa
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