Rewrite the following quadratic functions in intercept or factored form. Show your work.

f (x) = 3x^2 - 12

f (x) = 3 (x+2) (x-2)

Step-by-step explanation:

We are given a quadratic function and we have to write it in factored form

f (x) = 3x² - 12

we can take 3 common above

f (x) = 3 (x² - 4)

f (x) = 3 (x² - 2²)

using formula (a²-b²) = (a+b) (a-b)

f (x) = 3 (x+2) (x-2)

f (x) = 3 (x-2) (x+2)

Step-by-step explanation:

We have given a quadratic function.

f (x) = 3x²-12

We have to rewrite above function in factored form.

We use following formula to solve it.

a²-b² = (a-b) (a+b)

As we know know that 3 and 12 are multiples of 3.

Hence, taking 3 from diven expression, we have

f (x) = 3 (x²-4)

Applying diference formula, we have

f (x) = 3 (x²-2²)

f (x) = 3 (x-2) (x+2) which is factored form of given function.