Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `4x^4 + 6x^3 –2 – x4`?

Answer 1

`color(indigo)("Classification by degree ")= color(blue)("Quartic or Fourth degree"`

`color(crimson)("Classification by no. of terms "= color(maroon)(Four"`

Explanation:

`4x^4 + 6x^3 - 2 - x*4`

`4x^4 + 6x^3 - 4x - 2, " writing in descending order of x"`

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Polynomials are also classified according to their number of terms.

In the given sum,

Classification by degree = Quartic or Fourth degree

Classification by no. of terms = Four