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

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Answer 1 · 2018-07-09T21:49:00

Standard form: #-9x^3 + 6x^2 + 3#

Degree: #3#

Number of terms: #3#

To write it in standard form, it must be from largest to smallest exponent.

The largest exponent is #3#, then #2#, then none, so let's order the expression that way:
#-9x^3 + 6x^2 + 3#

Classifying it by degree means to find the highest exponent. That would be #3# (from #6x^2#)

The number of terms means how many "terms" are separated by the #+# and #-# operations. Therefore, there are #3# terms.

Hope this helps!