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

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Answer 1 · 2015-08-22T12:32:18

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

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 $3$

How do you find the degree of the polynomial 2p^2q - 3pq + q^22p^2q - 3pq + q^2?