Question

Rewrite f(x) = x^2 + 4x -12 in the form that would most easily help you identify

Answer 1

Answer:

A.  $f(x)=(x+6)(x-2)$

Step-by-step explanation:

Given function:

$f(x)=x^2+4x-12$

To rewrite the equation such that the zeros of the function can be easily identified.

Solution:

In order to find the zeros of the given quadratic function, we will use factorization by splitting up the middle term.

We have:

$f(x)=x^2+4x-12$

Splitting $4x$ into two term such that the sum of the two terms = $4x$(middle term) and the product of the two terms is =$-12x^2$ (product of first and last term)

The terms are  $6x,-2x$ as their sum = $4x$ and their product = $-12x^2$

So, we have:

$f(x)=x^2+6x-2x-12$

Factoring in pairs of first two terms and last two terms by factoring out their G.C.F.

$f(x)=x(x+6)-2(x+6)$

Since $(x+6)$ is a common term, we can factor it out further.

$f(x)=(x+6)(x-2)$  (Answer)

From the above function, we can identify that the zeros of the function are -6 and 2.

Answer 2

Answer:f(x)=(x+6)(x-2)

Step-by-step explanation: