Question 476960: I Had A Question About The Example On The Website. It Says "A degree of a polynomial is the maximum degree of its monomials. Degree of x^2+abcx is 4." I Was Hoping You Could Explain It More In Depth. Like How You Get To The Answer Of 4 for The Question "Degree Of x^2+abcx is 4." And What Does "A degree of a polynomial is the maximum degree of its monomials." Mean?
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! You don't have to capitalize every word in a sentence. And 4 could be the answer; it really depends if a,b,c are variables or constants. Basically, the degree (or order) of a polynomial is the highest exponent that has a nonzero coefficient. Or, in the case where there is a polynomial of several variables, the degree is the highest "sum of exponents." It's a little difficult to explain, but look up some examples and you will easily understand it.
For x^2 + abcx, if a,b,c are assumed to be constants then the degree of the polynomial is 2 (since the x^2 term has degree 2). If a,b,c are variables themselves then the degree is 4 (taken from the abcx term).
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