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

Question

1760 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-23T07:42:32

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

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.

How do you write a polynomial in standard form, then classify it by degree and number of terms 6a^4 + 9a^3 - 12a^26a^4 + 9a^3 - 12a^2?