Concept explainers
Would you expect the quotient to have a degree greater than or less than 5 while dividing a polynomial in one variable with degree 5 by a monomial in the same variable with a degree of 2.
Explanation of Solution
Concept Used:
If an expression of smaller degree divides another expression completely, then the divisor expression will be a factor of the dividend expression.
Calculation:
While dividing a polynomial in one variable with degree 5 by a monomial in the same variable with a degree of 2, the quotient will be a polynomial in same variable as well but with a degree less than 5.
The degree of the quotient will be a polynomial of degree 3, because the difference of the degree of dividend and divisor is 2.
So, while dividing a polynomial in one variable with degree 5 by a monomial in the same variable with a degree of 2, you can expect the quotient to have a degree less than 5.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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