Question

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

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