# How do you write a polynomial in standard form, then classify it by degree and number of terms 0.43x - 7x^4 - 0.76 + 3x^6 - 7x^3 + 4x^8 ?

Nov 17, 2017

$4 {x}^{8} + 3 {x}^{6} - 7 {x}^{4} - 7 {x}^{3} + 0.43 x - 0.76$

The greatest exponent is 8, so this is an 8th degree polynomial, and it has 6 terms.

#### Explanation:

A polynomial in standard form, it is written in descending order of exponents, ending with a constant (no variable or exponent).

Given:

$0.43 x - 7 {x}^{4} - 0.76 + 3 {x}^{6} - 7 {x}^{3} + 4 {x}^{8}$

Rewrite in descending order of exponents.

$4 {x}^{8} + 3 {x}^{6} - 7 {x}^{4} - 7 {x}^{3} + 0.43 x - 0.76$

The greatest exponent is 8, so this is an 8th degree polynomial, and it has 6 terms.