Answer:
f(x)= 3(x - 2)(x + 2)
Step-by-step explanation:
The given quadratic function f(x) = 3x^2 - 12
Let's factor the given function.
f(x) = 3x^2 - 3*4
Here the common factor is 3, we can take it as common factor and write the remaining terms.
f(x) = 3(x^2 - 4)
Now we can factor (x^2 - 4) using the formula (a^2 - b^2) = (a-b)(a + b)
(x^2 -4) = (x^2 - 2^2)
= (x - 2)(x + 2)
Therefore, f(x) = 3(x^2 - 2^2)
f(x)= 3(x - 2)(x + 2)
Hope this will help you to understand the concept.
Thank you.
