(a)
What is the degree of the polynomial
Given:
Calculation:
It has been given that
Therefore,
On simplifying
Degree of a polynomial is the highest exponent of any term. Highest exponent of the polynomial is
Therefore, degree is
(b)
What is the degree of the polynomial
Given:
Calculation:
It has been given that
Therefore,
On simplifying
Degree of a polynomial is the highest exponent of any term. Highest exponent of the polynomial is
Therefore, degree is
(c)
What is the degree of the polynomial
Given:
Calculation:
It has been given that
Therefore,
On simplifying
Degree of a polynomial is the highest exponent of any term. Highest exponent of the polynomial is
Therefore, degree is
(d)
What is the degree of the polynomial
Degree for both
Degree of
Given:
Calculation:
When two polynomials are added then the degree of the resultant polynomial will be the highest degree among the two polynomials. The same concept applied when we subtract any two polynomials.
Therefore, the degree for both
When two polynomials are multiplied the exponent gets added of the same base. Therefore, the degree of the resultant polynomial will be sum of the degree of both polynomials.
Therefore, the degree of
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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