Question

The degree of the sum of two polynomials each of degree 5 is always 5.


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Answer 1

Step-by-step explanation:

The degree of the sum of two polynomials each of degree 5 is not always 5.e.g

Let p(x)=−3x5+x2+4 and q(x)=3x5+x3−1

Clearly, both p(x) and q(x) are of degree 5.

Now, p(x)+q(x)=x3+x2+3, it is polynomial of degree 3 not 5.

Therefore, 

The degree of the sum of two polynomials each of degree 5 is not always 5.