1. B. The Discriminant
2. A. There must be two real solutions.
3. B. This quadratic equation has two complex solutions.
4. A. No. When the discriminant is less than zero, there are no real solutions.
5. C. 2
1. In the quadratic formula, −b±b2−4ac√2a, what is b2−4ac called?
A. The Radical
B. The Discriminant
C. The Solution
D. The Radical
2. Suppose that you are solving a quadratic equation and realize that the discriminant is equal to 7. Which of the following statements best describes the solutions to this quadratic equation?
A. There must be two real solutions.
B. There must be exactly one real solution.
C. There will be no solutions to this quadratic equation.
D. There must be two non-real solutions.
3. Which of the following statements is true regarding the solutions to the quadratic equation 5x^2+6x+2=0
A. This quadratic equation has exactly one real solution.
B. This quadratic equation two complex solutions.
C. This quadratic equation has two real solutions.
D. This quadratic equation has no solutions.
4. Does every quadratic equation have at least one real solution? Explain.
A. No. When the discriminant is less than zero, there are no real solutions.
B. Yes. When the discriminant is zero, there are two unique solutions. When the discriminant is not zero, there is exactly one solution.
C. Yes. When the discriminant is zero, there is exactly one solution. When the discriminant is not zero, there are two unique solutions.
D. No. When the discriminant is greater than zero, there are no real solutions.
5.
Identify the number of zeros of the polynomial x-x^2-x^6+8x^4
A. 4
B. 8
C. 2
D. 6
1 answer