Respuesta :

ANSWER

C. (2×+1)(×-6)

EXPLANATION

We want to find the equivalent expression to the one given.

To do that, we have to factorise the expression.

We need to separate -11x into two numbers such that the sum of those numbers is -11 and the product of those numbers is -12 (i.e. -6 * 2).

The two numbers are -12 and 1.

So, the expression becomes:

[tex]\begin{gathered} 2x^2\text{ - 12x + x - 6} \\ 2x(x\text{ - 6) + 1 (x - 6)} \\ \Rightarrow\text{ (2x + 1)(x - 6)} \end{gathered}[/tex]

So, the equivalent expression is Option C.