Question

What is the name of the polynomial based on its degree and number of terms?

8x²+2x¹−3

Answer 1

Given:

The given polynomial is:

`8x^2+2x^1-3`

To find:

The name of the polynomial based on its degree and number of terms.

Solution:

Consider the given polynomial:

`8x^2+2x^1-3`

Here the highest power of x is 2. It means the degree of the polynomial is 2.

We know that, the second degree polynomial is called quadratic polynomial.

The terms in the given polynomial are
`8x^2,2x^1,-3`. The number of terms in the given polynomial is 3.

We know that, the polynomial that contains three terms is called trinomial.

Therefore, the name of the polynomial based on its degree is quadratic polynomial and based on the number of terms is trinomial.