How do you find the degree of the polynomial #2p^2q - 3pq + q^2#?

1 Answer
Alan P.
Aug 22, 2015

#2p^2q-3pq+q^2# is of degree #3#

Explanation:

The degree of a polynomial is the highest degree of its terms.

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

#2p^2q = 2p^color(red)(2)q^color(red)(1) rarr " degree " = color(red)(2)+color(red)(1) = 3#

#3pq = 3p^color(red)(1)q^color(red)(1) rarr " degree " = color(red)(1)+color(red)(1) = 2#

#q^2 = q^color(red)(2) rarr " degree " = color(red)(2) = 2#

Highest term has a degree of #3#
#rArr# polynomial is of degree #3#

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