The quadratic expression \( x^2 + 3x - 4 \) can be factored by finding two numbers that multiply to give \(-4\) (the constant term) and add to give \(3\) (the coefficient of \(x\)).

The two numbers that satisfy these conditions are \(4\) and \(-1\), since:
- \(4 \times (-1) = -4\)
- \(4 + (-1) = 3\)

Thus, the factorization of \( x^2 + 3x - 4 \) is:

\[
x^2 + 3x - 4 = (x + 4)(x - 1)
\]

Would you like further explanation or have any questions?

Here are some related questions to deepen understanding:
1. How can you verify that a factorization is correct?
2. Can all quadratic equations be factored using integers?
3. What is the difference between factoring and solving a quadratic equation?
4. How do you factor a quadratic equation when the leading coefficient is not 1?
5. What other methods can be used to factor quadratic equations?

**Tip:** When factoring quadratics, always check the product and sum of the factors to ensure the correct result.

Learn how to factor the quadratic equation x² + 3x - 4 by finding two numbers that multiply to -4 and add up to 3. This step-by-step solution demonstrates key algebraic techniques for factoring and solving quadratic equations, suitable for students in Grades 8-10.

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