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

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Answer 1 · 2017-07-09T19:24:53

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.

$color(green)(6b^3) + color(green)(9b^2) - color(green)(12b) + color(green)(0)$

$4$ 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

$6b^color(red)(3) + 9b^2 - 12b$

$3$ rd degree polynomial

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