Question

Which expression is the result of factoring the expression below by taking out its greatest common factor? \[16x^2-8x=\,?\]

A. 6x(x^2-3x+2)6x(x2−3x+2)6

B. 3(2x^2-x+4)3(2x2−x+4)3

C. 6(x^2-3x+2)6(x2−3x+2)6

D. 3x(2x^2-x+4)3x(2x2−x+4)

Answer 1

The greatest common factor of the expression 16x^2-8x is 8x. Upon factoring by the GCF, the correct factored expression is 8x(2x - 1), which is not listed in the provided answer options.

Step-by-step explanation:

To factor the expression 16x^2-8x by taking out its greatest common factor, we need to find the highest number and variable power that divides both terms. In this case, the greatest common factor (GCF) is 8x. Dividing each term by 8x gives us the factored expression:

8x(2x - 1)

None of the answer choices provided (A, B, C, or D) match this result, so it's likely there was an error in the list of options. The correct final answer is 8x(2x - 1), which is not presented among the given choices.