document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #326986 by richard1234(7193) $\"\"$ $\"About$

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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.
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\n" ); document.write( "\n" ); document.write( "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). \n" ); document.write( "

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