Question

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

Answer 1

C. (2×+1)(×-6)

Step-by-step 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:

`\begin{gathered} 2x^2\text{ - 12x + x - 6} \\ 2x(x\text{ - 6) + 1 (x - 6)} \\ \Rightarrow\text{ (2x + 1)(x - 6)} \end{gathered}`

So, the equivalent expression is Option C.