How do you find the degree of $4y - 5xz$ ?

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Answer 1 · 2015-10-18T21:12:59

$4y-5xz$ has degree $2$

The degree of an expression the 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.

$4y = 4y^color(green)(1)$ has a degree of $color(green)(1)$

$5xz = 5x^color(red)(1)z^color(blue)(1)$ has a degree of ( $color(red)(1)+color(blue)(1)) =2$

$(5xz)$ has a higher degree than $(4y)$
Therefore the degree of the expression is the degree of $(5xz)$ , namely $2$

How do you find the degree of 4y - 5xz4y - 5xz?