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

Answer:4xy and 12x

Explanation:

The could both be a product of 2x

Answer 2

4xy and 12x

Explanation:

In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options

Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.

This makes 24 and 44y out of the way.

Now let’s look at 4xy and 12x. Let’s insert them into the blank space;

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

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

The reason why we will not use 44y and 24 is because 2x is not a factor of either.