Question

Which of the following expressions is equivalent to 3x2 + 6x – 24?A. 3(x+2)(x–4) B. 3(x–2)(x+4) C. (x+6)(x–12) D. (x–6)(x+12)

Answer 1

We are given a quadratic equation and required to factorize it accordingly.

`\begin{gathered} 3x^2+6x-24 \\ 3(x^2+2x-8) \\ \text{Next, we seek factors of -8 and add up to 2.} \\ 3(x^2+2x-4x-8) \\ \text{ We further get the factors of the term in parenthesis} \\ 3(x(x+2)-4(x+2)) \\ 3((x+2)(x-4)) \end{gathered}`

OPTION A