Question

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.

2
4xy
12x
24
44y

Answer 1

4xy and 12x

Explanation:

In this question, we must select which of the options to put into the blank space that will make the polynomial 2x the biggest common factor. We have two choices to choose from.

Now, looking at the blank space, we should understand that any response we are going to choose is an answer that contains x next to the number.

That puts 24 and 44 years out of the way.

Let's take a look at 4xy and 12x now. Let's place them within the blank space;

36x^3-22x^2 - 4xy: 2x(18x^2-11x-2y) 2x(18x^2-11x-2y)

36x^3-22x^2-12x= 2x(18x^2-11x-6) and 36x^3-22x^2-12x

The explanation why we're not going to use 44y and 24 is that 2x is not a consideration either.