You’ve provided the expression \( \frac{5x^2 - 7x - 3}{3x + 1} \).

Would you like to simplify, factorize, or analyze the expression further? Let me know if you'd prefer to find limits, graph it, or explore some other property of this expression.

Here are some related questions:

1. How would you find the roots of the quadratic in the numerator \(5x^2 - 7x - 3\)?
2. What happens to the expression as \(x\) approaches infinity or negative infinity?
3. Can this rational function be simplified by factoring the numerator and denominator?
4. What is the domain of this rational function?
5. How would you find the vertical and horizontal asymptotes of this function?

**Tip:** To factor a quadratic expression, try the quadratic formula or search for two numbers that multiply to give the constant term and add to give the coefficient of the middle term.

Explore how to simplify the rational function 5x^2 - 7x - 3 / 3x + 1. This solution covers key concepts such as factoring quadratics, identifying asymptotes, and analyzing rational functions. Suitable for Grades 10-12 students.

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