Concept explainers
To find: The relation between degrees of two polynomials and degree of their product.
Answer to Problem 7LC
Degree of polynomial obtained as a product of two polynomials is the sum of degrees of both the polynomials.
Explanation of Solution
Given information: Any two polynomials
Concept used: The degree of a polynomial is the highest power on its any of the term. And when two such polynomials are multiplied together, the degree of the resulting polynomial is always the sum of degrees of both the polynomials.
Calculation: For example, let
Or degree of resulting product of 5 that is the sum of degrees of both the polynomials.
Conclusion: So, degree of product of two polynomials is the sum of degrees of two polynomials.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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