The Discriminant and Finding Equations

1.  What is the discriminant of   x² - 8x  + 5?

 Discriminant = 40

 Discriminant = 44

 Discriminant = -44

2.  What is the discriminant of   3x² - 8x - 7?

  Discriminant = -20

  Discriminant = 20

  Discriminant = 148

3.  What is the discriminant of   x² - 1x + 13?

  Discriminant = -51

  Discriminant = -53

  Discriminant = 52

4.  How many real solutions does the equation 8x² - 5x + 12 have?

 No real solutions.

 1 real solution.

 2 real solutions.

5.  How many real solutions does the equation x² - 10x + 25 have?

 No real solutions.

 1 real solution.

 2 real solutions.

6.   For what value of k will the equation x² - kx    =   169 have exactly 1 solutions?

 x = {-26, 26}

 x = {-13, 13}

 x = 13

7.    Find the equation that fits the solution x = 8 and x = 7.

 x² - 15x + 56

 x² + 15x + 56

 x² - x + 56

8.    Find the equation that fits the solution x = 1, x = 2 and x = 3.

 (x-1)(x-2)(x-3)

 x³ - 6x² + 11x - 6

x³ + 6x² + 11x + 6

9.     Identify the following graph as being linear, quadratic or cubic.

 Linear

 Quadratic

Cubic

10.     Identify the following graph as being linear, quadratic or cubic.

 Linear

 Quadratic

Cubic