Question

Find the common factor of all of the terms of the polynomial below.

14x2 - 12x
Α. 2x
Β. 4χ2
C. 2χ2
D. 4x

Answer 1

A. 2x

Explanation:

First let's correct the problem.

Question:

`14x^2-12x` is the binomial we are solving

Now, let's solve this.

We see that we have one term to the 2nd degree (shown by the exponent) and one to base degree. Therefore, the answer cannot be B or C since you cannot factor into a negative exponent.

So we now have either A. 2x or D. 4x

Let's try both of these.

Factoring out with 2x we get:

`2x(7x-6)`, which is perfectly fine!

Factoring out with 4x we get:

`4x(3.5x-3)`

Therefore, it must be A. 2x

Alternatively, we know the factors of 14 are 1,2,7, and 14. The factors of 12 are 1,2,3,4,6, and 12. The only factor shared here is A. 2