What is the degree of #x^2 + 2x + 3#?

1 Answer
Alan P.
Jul 31, 2015

The degree of #x^2+2x+3# is #2#

Explanation:

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

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

#color(white)("XXXX")##x^2# has degree #2#
#color(white)("XXXX")##2x = 2x^1# has degree #1#
#color(white)("XXXX")##3 = 3x^0# has degree #0#

The highest degree of the terms is #2# and this is therefore the degree of the polynomial

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