bostonbaby12
bostonbaby12 bostonbaby12
  • 13-06-2017
  • Mathematics
contestada

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

Respuesta :

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 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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