Question

HELP!!!!

write 2x^2-4x^3+6/3 in standard form. Then classify it by degree and by number of terms.

Answer 1

By definition, the standard form of a polynomial is given by:

`ax ^ n + ... + bx ^ 3 + cx ^ 2 + dx + e`

We then have the following polynomial:

`2x ^ 2-4x ^ 3 + (6)/(3)`

Rewriting in its standard form we have:

`-4x ^ 3 + 2x ^ 2 + 2`

We realize that the polynomial has three terms, therefore, it is a trinomial.

The largest exponent of the polynomial is three and therefore we have a trinomial of degree three.

Answer:

`-4x ^ 3 + 2x ^ 2 + 2`

Three degree trinomial.