Question 169077: This book is very hard to understand Please with this homework problem Thank you
If a fourth-degree polynomial is multiplied by a third-degree polynomial, what is the degree of the product? please explain your reasoning and provide examples to supoort your explanation. Answer by tutorcecilia(2152) (Show Source):
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The "degree" of the polynomial is the highest exponent in the polynomial.
A fourth degree is a polynomial with the highest degree = 4
For example: x^4 +2x +1 where the highest or largest degree is 4.
If one polynomial has the highest degree of 4 (x^4) and the other is 3 (x^3) than when they are multiplied (x^4 * x^3) you add the exponents. So, the answer is (4+3) or x^7.