Algebra Examples

$3 x y^{2} z - 2 z^{5} + \frac{2}{3} y^{2} z^{4}$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{2}{3}$ and $y^{2}$ .

$3 x y^{2} z - 2 z^{5} + \frac{2 y^{2}}{3} z^{4}$

Step 1.2

Combine $\frac{2 y^{2}}{3}$ and $z^{4}$ .

$3 x y^{2} z - 2 z^{5} + \frac{2 y^{2} z^{4}}{3}$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$3 x y^{2} z \to 4$

$- 2 z^{5} \to 5$

$\frac{2 y^{2} z^{4}}{3} \to 6$

Step 3

The largest exponent is the degree of the polynomial.

$6$