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