# How do you write a polynomial in standard form, then classify it by degree and number of terms  6b^3 + 9b^2 - 12b?

Jul 9, 2017

This is already in standard form.

To classify via number of terms, we count how many terms there are in the expression. A term is a variable and it's exponent.

$\textcolor{g r e e n}{6 {b}^{3}} + \textcolor{g r e e n}{9 {b}^{2}} - \textcolor{g r e e n}{12 b} + \textcolor{g r e e n}{0}$

$4$ terms

Now let's classify it via the degree

Since the expression is already in standard form, all we look at is the leading term, and its exponent

$6 {b}^{\textcolor{red}{3}} + 9 {b}^{2} - 12 b$

$3$rd degree polynomial