Question

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

f(x) = 3x^2 - 12

Answer 1

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

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.

Answer 2

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

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)