# How do you write a polynomial in standard form, then classify it by degree and number of terms –10x^3 + 6 – x^5 – 3x^2 + 5x^4 – 13x?

May 28, 2018

$- {x}^{5} + 5 {x}^{4} - 10 {x}^{3} - 3 {x}^{2} + 6$ is the standard form.

Degree of polynomial is color(maroon)(5

Number of terms color(brown)(6

#### Explanation:

$- 10 {x}^{3} + 6 - {x}^{5} - 3 {x}^{2} + 5 {x}^{4} - 13 x$

$- {x}^{5} + 5 {x}^{4} - 10 {x}^{3} - 3 {x}^{2} - 13 x + 6$ is the standard form.

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

Degree of polynomial is color(maroon)(5

Number of terms color(brown)(6