Please answer all the question on a paper and please show your steps and make shure the final copy is neat thanks

1. What are the discriminant and solutions for the following quadratics? a. f(x) = 3x2 + 2x - 1 b. f(x) = x2 + 2x + 2 c. f(x) = -x2 + 4x - 4 2. The profit function for a pencil factory depends on which plant you decide to setup up operations in. What is the best plant to run your business - A, B, or C (where x is the number of pencils in the thousands to make a profit of P(x) in dollars)? A. P(x) = -0.03x2 + 0.50x - 5.00 B. P(x) = -0.03x2 + 0.70x - 4.00 C. P(x) = -0.03x2 + 0.90x - 2.00 3. A student has fallen in a hole and must throw a key to their friend to go get a rope from the car. Which equation of motion will save the poor student (ground level is zero metres in height for throws of different speeds up from a height of negative two metres and time is in seconds)? a. h(t) = -4.9t2 + 5.0t - 2.0 b. h(t) = -4.9t2 + 6.3t - 2.0 c. h(t) = -4.9t2 + 7.0t - 2.0