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 the following the quadratic function and we are to rewrite it in intercept or factored form:

We can factorize the given function so taking the common factors out of it to get:

The term is in the form so it can further be factorized to give:

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5