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

Sep 4, 2016

See explanation.

#### Explanation:

To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.

In this example it would give:

$- 6 {x}^{4} + 3 {x}^{2} + 4 x + 2$

This expression is a polynomial of fourth degree with 4 terms:

1. ${x}^{4}$ with a coefficient of $- 6$

2. ${x}^{2}$ with a coefficient of $3$

3. $x$ with a coefficient of $4$

4. The free term (without any variable) $2$