QuestionDecember 25, 2025

12. What is the highest degree of the polynomial below? -x(x-5)^3(x+2)^2(x+4)

12. What is the highest degree of the polynomial below? -x(x-5)^3(x+2)^2(x+4)
12. What is the highest degree of the polynomial
below?
-x(x-5)^3(x+2)^2(x+4)

Solution
4.1(163 votes)

Answer

7 Explanation 1. Identify the degree of each factor -x is degree 1, (x-5)^3 is degree 3, (x+2)^2 is degree 2, (x+4) is degree 1. 2. Add degrees for total degree Total degree is 1 + 3 + 2 + 1 = 7.

Explanation

1. Identify the degree of each factor<br /> $-x$ is degree 1, $(x-5)^3$ is degree 3, $(x+2)^2$ is degree 2, $(x+4)$ is degree 1.<br />2. Add degrees for total degree<br /> Total degree is $1 + 3 + 2 + 1 = 7$.
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