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

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Answer 1 · 2015-10-27T23:58:53

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

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 $3$

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