Use the quadratic equations below to answer the questions that follow.
a. x²+7x+12=0
b. 3x²-4x+1=0

1. What do you observe to the sum and the product of the roots of each quadratic equation in relation to the values of a, b, and c?
2. How do you describe the relationship between the coefficient and the roots of the given quadratic equations?
3. Do you think a quadratic equation can be determined given:
a. It's roots?
b. the sum and product of the roots?
4. Given the roots 5 and –3, determine the quadratic equation.
5. What is the quadratic equation, if the sum and product of the roots are –9 and 20, respectively? ​