Question

Classify the polynomial as a monomial, binomial, trinomial, or none of these. Also, give the degree.

x² - 6x + 9
Choose the correct type of polynomial.
Trinomial
Binomial
Monomial
None of these
O
What is the degree of the polynomial?
The degree is ?

Answer 1

The given polynomial is a trinomial

The degree of the polynomial is 2

Solution:

Given polynomial is:

`x^2 - 6x + 9`

We have to classify the polynomial

From given,

`x^2 - 6x + 9 \text{ has three terms }`

`Terms = x^2 , -6x , 9`

A polynomial with three terms is a trinomial

Thus the given polynomial is a trinomial

What is the degree of the polynomial?

The highest degree of the polynomial 's monomials with non-zero coefficients

`x^2 - 6x + 9\\\\Degree\ of\ x^2 = 2\\\\Degree\ of -6x = 1\\\\Degree\ of\ 9 = 0 ( degree\ of\ constants\ is\ 0)`

Thus the degree of the polynomial is 2