The expression you've provided is:

\[
-5v^2 + 3v + 14
\]

This is a quadratic expression, which is of the form \( ax^2 + bx + c \), where \( a = -5 \), \( b = 3 \), and \( c = 14 \).

Do you need to simplify, factor, or solve this quadratic expression? Let me know if you'd like to proceed with any specific operation.

Would you like more details or have any questions?

Here are 5 related questions that build upon this concept:

1. How would you factor the quadratic expression \( -5v^2 + 3v + 14 \)?
2. Can you solve \( -5v^2 + 3v + 14 = 0 \) using the quadratic formula?
3. What is the vertex form of the quadratic expression \( -5v^2 + 3v + 14 \)?
4. How do you find the roots of a quadratic equation?
5. Can you graph the equation \( y = -5v^2 + 3v + 14 \) and find its vertex?

**Tip:** When dealing with quadratic equations, the sign of the leading coefficient (the \( a \) term) helps determine if the parabola opens upwards or downwards.

Discover how to solve the quadratic equation -5v^2 + 3v + 14 using the quadratic formula. This tutorial covers essential algebra concepts and provides a step-by-step breakdown suitable for students in Grades 9-12.

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