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).

step-by-step explanation:

your answer is a

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal