Concept explainers
To prove: Whether the degree of the sum of two polynomials of the same degree equals to the degree of one of the polynomial or not.
Answer to Problem 141AYU
The degree of the sum of two polynomials of the same degree equals to the degree of one of the polynomial.
Explanation of Solution
Given information:
Calculation:
Calculate the degree of the product of two nonzero polynomials equals the sum of their degrees.
Where
Consider the two polynomials
First, we will find the addition of above two polynomials
Now we will calculate the degree of
Thus we have
Therefore, it is proved that “the degree of the sum of two polynomials of same degree equals to the degree of one of the polynomial.”
Chapter A Solutions
Precalculus
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