Question

Consider the following expression:- 5x² - 6x²Step 2 of 2: Determine the degree and the leading coefficient of the polynomial.

Answer 1

Hello!

We have the expression below:

`-5x^2-6x^2`

First, notice that we can simplify it as a monomial, right? So, let's do it:

`-5x^2-6x^2=-11x^2`

Now, we obtained the monomial below:

-11x²

Let's analyze it and solve your question:

The leading coefficient will be the number that accompanies the variable with the highest exponent. In this case, we have only one term, so the leading coefficient is -11.

The degree is the highest power that appears in the polynomial. So, the degree is 2 because it's raised two.