Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `6a^4 + 9a^3 - 12a^2`?

Answer 1

`6a^4 + 9a^3 - 12a^2` is in standard form with degree of polynomial 4. It has three terms with `x^2` and constant terms having `0` coefficient.

Explanation:

Definition: A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc..

Examples of Polynomials in Standard Form. -`x^2 + x + 3`

Non-Examples of Polynomials in Standard Form. `2y ^4 + 3y ^5 + 2+ 7`

In the given sum

`6a^4 + 9a^3 - 12a^2` is in standard form with degree of polynomial 4. It has three terms with `x^2` and constant terms having `0` coefficient.