Question

The degree of the sum of two polynomials each of degree 5 is always 5 *
please give me correct answer and explain​

Answer 1

Answer:

It is not necessary that the degree of the sum of two polynomials each of degree 5 is always 5.

Let p(x)=−x

5

+x

2

+2 and q(x)=x

5

+x

3

+4

p(x) and q(x) each are of degree 5.

But p(x)+q(x) =−x

5

+x

2

+2+x

5

+x

3

+4=x

3

+x

2

+6 which is not of degree 5.

Step-by-step explanation:

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