Question

Rewrite the quadratic function in intercept or factored form F(X)=9X^2-4

Answer 1

Answer:

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

Step-by-step explanation:

To solve the exercise you must apply the proccedure shown below:

1. You can rewrite the following terms:

$9x^{2}=[(3x)^{2}$

$4=2^{2}$

2. Both are perfect squares, therefore, by the difference of squares:

$a^{2}-b^{2}=(a+b)(a-b)$

3. Then, you can rewrite the quadratic equation as it is shown below:

 $f(x)=(3x+2)(3x-2)$