Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

14

step-by-step explanation:

14 x 3 = 42