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Chapter 6: Q. 85 (page 698)

Using your own words, explain the difference between a polynomial with five terms and a polynomial with a degree of 5.

Short Answer

Expert verified

If a polynomial has five terms, then the number of terms is 5 but the degree of the polynomial is not fixed.

If a polynomial has degree 5, then the highest power of the variable is 5 but the number of terms is not fixed.

Step by step solution

01

Step 1. Given information.

We need to explain the difference between a polynomial with five terms and a polynomial with a degree of 5.

02

Step 2. Definitions.

Term: A term is a constant or the product of a constant and one or more variables.

Degree of a polynomial: The degree of a polynomial is the highest degree of all its terms.

03

Step 3. Conclusion.

If a polynomial has five terms, then the number of terms is 5 but the degree of the polynomial is not fixed.

If a polynomial has degree 5, then the highest power of the variable is 5 but the number of terms is not fixed.

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