Answer:
The correct option is C. (3·x + 2)
Step-by-step explanation:
The quadratic equation is given to be : 18·x² + 3·x - 6
We need to find the factors of this given quadratic equation.
Let f(x) = 18·x² + 3·x - 6
⇒ f(x) = 3 × (6·x² + x - 2)
⇒ f(x) = 3 × (6·x² - 3·x + 4·x - 2)
⇒ f(x) = 3 × [3·x(2·x - 1) + 2(2·x - 1)]
⇒ f(x) = 3·(2·x - 1)·(3·x + 2)
Now, from the given options : The required factor of the given quadratic equation is (3·x + 2)
Therefore, The correct option is C. (3·x + 2)
