Complex and Quadratics Review

1 The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

1 What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

When in standard form, what is the value of a, b and c in this quadratic?

7x² - 4x + 3 = 5x² + 8

• a = 2 b = -4 c = -5

• a = 7 b = -4 c = 3

• a = 2 b = -4 c = 5

• a = 12 b = -4 c = -5

What is the discriminant and how many solutions would this quadratic have?

-4x² - 8x - 8 = -4

• 0, No Solutions

• 0, 1 Solution

• 128, 2 Solutions

• 128, 1 Solution

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root with a multiplicity of 2
• -400, 2 imaginary roots
• -3, 2 imaginary roots

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3
*remember right side should =0

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Simplify: 
(7 + 2i)(9 - 6i)

• 75-24i
• 63 - 24i  - 12i²
• 51 - 24i
• 58 + 60i

What does i² = ?

• -1
• √-1
• 1
• -√1