How do you write a polynomial in standard form, then classify it by degree and number of terms $5a^2 + 3a^3+1$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $5a^2 + 3a^3+1$ ?

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Answer 1 · 2017-06-17T08:37:53

See explanation.

Explanation:

To write the polynomial in standard form you have to order its terms by decreasing powers of the unknown (here $a$ ):

$5a^2+3a^3+1=3a^3+5a^2+1$

The resulting polynomial is a sum of 3 terms. The degree of a polynomial is the highest power with non zero coefficient. Here the powers are: $3,2$ and $0$ (the last term $1$ can be written as $1a^0$ ), so the highest power (i.e. the polynomial degree) is $3$

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How do you write a polynomial in standard form, then classify it by degree and number of terms $5a^2 + 3a^3+1$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $5a^2 + 3a^3+1$ ?