How do you find the degree of the polynomial #8x^3y^2-10xy+4x^2y^2+3#?

1 Answer
Lil Del
Oct 22, 2016

The degree of this polynomial is #5#.

Explanation:

The degree of a polynomial is equal to the highest degree of any individual term within the polynomial. The degree of a term is found by adding together the exponents of the variable's within the term.

#8x^3y^2# has a degree of #3 + 2 = 5#.

#-10xy# has a degree of #1 + 1 = 2#.

#4x^2y^2# has a degree of #2 + 2 = 4#.

#3# has a degree of #0#, because it has no variable component.

The highest degree of any individual term within this polynomial is #5#, so the degree of the polynomial is also #5#.

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