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.

Answer 1

Answer:

One can put 2x or 36 x.

and many more options are exists.

Step-by-step explanation:

Which term can be used in the blank of

$36 {x}^{3} - 22 {x}^{2} -$

__

so the greatest common factor of the resulting polynomial is 2x? Select two options.

Here if one want to take 2x common from the given polynomial than at least 2x should be at the blank space.

$36 {x}^{3} - 22 {x}^{2} - 2x \\ \\ 2x(18 {x}^{2} - 11x - 1)$

here 2x is common factor in all.

By this way one can place another expressions too,like 36 x

$36 {x}^{3} - 22 {x}^{2} - 36x \\ \\ 2x(18 {x}^{2} - 11x - 18)$

Hope it helps you.