How do you state the degree of the polynomial #xy^2 + 3xy - 7 + y#?

1 Answer
Alan P.
Oct 27, 2015

#xy^2+3xy-7+y# has degree #3#

Explanation:

The degree of a polynomial is the largest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables in that term.

#xy^2 =x^1y^2# has degree #1+2 = 3#
#3xy=3x^1y^1# has degree #1+1=2#
#-7# has degree #0#
#y= y^1# has degree #1#

The largest degree of the terms of #xy^2+3xy-7+y# is #3#

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