bostonbaby12 bostonbaby12

13-06-2017
Mathematics

contestada

is the sum of two polynomials of degree 5 always a polynomial of degree 5

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marklupek marklupek

13-06-2017

The 5th degrees could cancel out to be a polynomial of degree 4. Similarly for lower degrees.
But it can't be a 6th degree.

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konrad509 konrad509

13-06-2017

No.

Example
[tex]P(x)=x^5+x+3\\ R(x)=-x^5+3x-4\\\\ P(x)+R(x)=x^5+x+3+(-x^5)+3x-4=4x-1 [/tex]

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