# [SOLVED] polynomials

• January 7th 2006, 09:41 AM
rbur101
[SOLVED] polynomials
Is the sum of polynomials of degree m and n has degree max[m, n] a True statement? I have been reading about this but it doesn't make sense :confused:
• January 7th 2006, 12:20 PM
CaptainBlack
Quote:

Originally Posted by rbur101
Is the sum of polynomials of degree m and n has degree max[m, n] a True statement? I have been reading about this but it doesn't make sense :confused:

If by the degree of a polynomial you mean the highest exponent with
non-zero coefficient then the answer is no.

Consider polynomials $P_1(x)=x^3$ and $P_2(x)=-x^3$, then their sum is a polynomial
of degree $0$

RonL