Question

Rewrite the quadratic function in intercept or factored form

F(X)=9X^2-4

Answer 1

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

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)`