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!

How do you write a polynomial in standard form, then classify it by degree and number of terms 6x^2-9x^3+36x^2-9x^3+3?