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:

$2x ^ 2-4x ^ 3 + \frac{6}{3}$

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.