What is the degree of the polynomial $3 x^{2} y - 5 x^{2}$ $3x^2y-5x^2$ ?

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Answer 1 · 2015-06-26T18:27:47

It is degree $3$ $3$ .

The degree of a polynomial is the degree of the highest degree term that has non-zero coefficient.

The degree of a term is the sum of the powers on the variables in that term. A non-zero constant term has degree $0$ $0$ .

This polynomial can be written as

$3 x^{2} y^{1} - 5 x^{2}$ $3x^2y^1-5x^2$

And the degree of each term is

$3 x^{2} y^{1} \to 3$ $3x^2y^1rarr3$
$5 x^{2} \to 2$ $5x^2rarr2$

Since $3 > 2$ $3>2$ , the degree of the entire polynomial is $3$ $3$ .

What is the degree of the polynomial 3x^2y-5x^23x2y−5x23x^2y-5x^2?