The function \( f(X) = -3(x+4)(x-2) \) is already in factored form. The two factors are \( (x + 4) \) and \( (x - 2) \), and the function is multiplied by the constant \( -3 \).

In factored form, we express the function as a product of factors, which can be used to easily identify the roots (where \( f(X) = 0 \)):

- The root from \( (x + 4) \) is \( x = -4 \).
- The root from \( (x - 2) \) is \( x = 2 \).

Would you like to expand this function into standard form (quadratic form), or is there anything else you'd like to know?

Here are some related questions to expand on this:

1. How do we convert this function from factored form to standard form?
2. What is the vertex of this quadratic function?
3. How do we find the axis of symmetry for this function?
4. What do the roots of the factored form represent graphically?
5. How does the constant \( -3 \) affect the graph of the function?

**Tip**: In factored form, the roots of the quadratic equation are visible, and these roots represent the x-intercepts of the graph.

Explore the factored form of the quadratic equation f(X) = -3(x+4)(x-2). Learn how to identify the roots, convert to standard form, and understand the effects of the constant multiplier on the graph. Suitable for students in Grades 9-10.

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