How do you write a polynomial in standard form, then classify it by degree and number of terms $8-6w-12w-8w^2-7-3w^3$ ?

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Answer 1 · 2017-07-06T20:11:23

See explanation.

$8-6w-12w-8w^2-7-3w^3$

First you can reduce the like terms:

$8-18w-8w^2-3w^3$

Now we can order the terms by decreasing powers of $w$ :

$-3w^3-8w^2-18w+8$

This polynomial is in the standard form. From this form you see, that the polynomial:

has $4$ terms,
is a polynomial of third degree. (the highest exponent to which the unknown is raised is $3$ )

How do you write a polynomial in standard form, then classify it by degree and number of terms 8-6w-12w-8w^2-7-3w^38-6w-12w-8w^2-7-3w^3?