How do you find the degree of the polynomial $3 x^{2} + 8 x^{3} - 9 x - 8$ $3x^2+8x^3-9x-8$ ?

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Answer 1 · 2015-10-24T16:59:06

$3 x^{2} + 8 x^{3} - 9 x - 8$ $3x^2+8x^3-9x-8$ is of degree $3$ $3$

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,

Terms:
$3 x^{2}$ $3x^2$ is of degree $2$ $2$
$8 x^{3}$ $8x^3$ is of degree $3$ $3$
$9 x$ $9x$ is of degree $1$ $1$
$8$ $8$ is of degree $0$ $0$

Polynomial:
The largest degree of any term is $3$ $3$
$\Rightarrow$ $rArr$ the degree of the polynomial is $3$ $3$

How do you find the degree of the polynomial 3x^2+8x^3-9x-83x2+8x3−9x−83x^2+8x^3-9x-8?