Write the polynomial in general form and classify the polynomial by its number of terms and by its degree. The polynomial is, 2x + 6x^2

Answer 1

The general form of a polynomial is written in descending order of the degree, so we get 6x² + 2x. The polynomial has two terms ( 6x² and 2x), which means the polynomial is a binomial. The term 6x² has an exponent of 2, making this a degree 2 polynomial.

Answer 2

Hi Grant

6x²+ 2x

It is a second degree binomial, because it has only two terms and the highest exponent is 2.

A second degree polynomial is also called a Quadratic. Generally speaking the following applies for classifying and writing polynomials

To classify and write polynomials, you need to identify the degree of the polynomial (based on the highest exponent) and the number of terms it has, then use the appropriate names like "linear," "quadratic," "cubic," "monomial," "binomial," or "trinomial" to describe it; always write the polynomial in standard form, meaning the terms are ordered from highest to lowest exponent. 

Hope this helps.