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What is the degree of $x^{2} + 2 x + 3$ $x^2 + 2x + 3$ ?

1 Answer

Jul 31, 2015

The degree of $x^{2} + 2 x + 3$ $x^2+2x+3$ is $2$ $2$

Explanation:

The degree of a polynomial is the highest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables within that term.

$XXXX$ $color(white)("XXXX")$ $x^{2}$ $x^2$ has degree $2$ $2$
$XXXX$ $color(white)("XXXX")$ $2 x = 2 x^{1}$ $2x = 2x^1$ has degree $1$ $1$
$XXXX$ $color(white)("XXXX")$ $3 = 3 x^{0}$ $3 = 3x^0$ has degree $0$ $0$

The highest degree of the terms is $2$ $2$ and this is therefore the degree of the polynomial

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