Question

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`?

Answer 1

`-x^5 + 5x^4 - 10x^3 - 3x^2 + 6` is the standard form.

Degree of polynomial is `color(maroon)(5`

Number of terms `color(brown)(6`

Explanation:

`-10x^3 + 6 - x^5 - 3x^2 + 5x^4 - 13x`

`-x^5 + 5x^4 - 10x^3 - 3x^2 -13x + 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`