(c) \( 2 m^{2}+13 m-7 \)

The quadratic expression \( 2m^{2}+13m-7 \) can be factored or solved using the quadratic formula. This allows us to find the values of \( m \) for which the expression equals zero. It's interesting to note that the quadratic formula, which is \( m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), originates from completing the square—an algebraic technique invented by ancient mathematicians! In practical terms, solving such quadratic equations is essential in various fields, from physics, where it's used to model projectile motion, to economics, where it helps in optimizing profits. Finding the roots of the equation tells us where the curve intersects the x-axis, giving valuable insights into real-world scenarios!