For the quadratic equation \(3x^2 - x - 4\), we can identify the coefficients \(a\), \(b\), and \(c\) by comparing it to the general form:

\[
ax^2 + bx + c = 0
\]

So, for \(3x^2 - x - 4\):

- \(a = 3\) (coefficient of \(x^2\))
- \(b = -1\) (coefficient of \(x\))
- \(c = -4\) (constant term)

These are the values of \(a\), \(b\), and \(c\) for the given quadratic equation.

Would you like to go over solving this quadratic equation or have any other questions?

Here are 5 related questions:
1. How can you solve the quadratic equation \(3x^2 - x - 4 = 0\) using the quadratic formula?
2. What is the vertex of the parabola described by \(3x^2 - x - 4\)?
3. How would you graph the quadratic function \(3x^2 - x - 4\)?
4. Can the quadratic equation \(3x^2 - x - 4\) be factored, and if so, how?
5. What is the discriminant of \(3x^2 - x - 4\) and what does it tell us about the roots?

**Tip:** Always verify your factorization by expanding the factors back out. This helps to confirm that the factorization is correct.

Learn how to solve the quadratic equation 3x^2 - x - 4 with a detailed step-by-step solution. This problem covers key algebraic concepts, including the quadratic equation formula and its application. Suitable for high school students.

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