SOLUTION: How do you find the degree of a polynomial?

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Question 211982This question is from textbook Mathematics 1
: How do you find the degree of a polynomial? This question is from textbook Mathematics 1

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the degree of a polynomial?

If it only has one variable, say x, then you 
just find the term with the largest exponent of 
x, considering the constant term to be
multiplied by x%5E0.  That largest exponent
IS the degree.

5x%5E2%2B6x-7x%5E8-2%2B3x%5E3 is a polynomial of degree 8

x%2B1 is a polynomial of degree 1 because x means x%5E1

x is also a polynomial of degree 1 because x means x%5E1

1 is a polynomial of degree 0 because 1 means 1x%5E0

If there are two or more variables, then in the terms with more
than one variable, you add the exponents and the degree of the
polynomial is the largest exponent or sum of exponents:

x%5E4y%5E3%2B6x%5E3y%5E3-7xy8%2B5x%5E3%2B2 has degree 9, because the 
exponents of the term -7xy%5E8 is 9 because it means -7x%5E1y%5E8 
and adding exponents 1%2B8=9

7-xyz has degree 3 because -xyz means -x%5E1y%5E1z%5E1 and 
adding exponents gives 1+1+1=3.

Edwin