Discriminant
Complex Numbers
Linear Factors
100

What is the equation for the discriminant?

b2 - 4ac

100

What is the definition of i?


What is the definition of i2?

i = square root of (-1)


i2 = -1

100

How many factors does the following equation have?

x5 - 3x3 +2x +7

5 factors

200

If the discriminant is negative, how many real solutions are there? How many imaginary solutions?

0 real solutions

2 imaginary solutions

200
Simplify (3+5i) - (7-5i)

-4 + 10i

200
What is the degree of the following function:


x3 + 4x2 - 3x6 + 6

Degree = 6

300

Calculate the discriminant of 3x2+4x-6

42-4*3*(-6)

16 + 72

88

300

Simplify:

(3-6i)(3+6i)

32 + 62 

9 + 36

45

300

3x2 - 2x4 +2

If there are 2 real zeros, how many imaginary zeros are there?

2 imaginary zeros


(degree = 4, so 4 total zeros. 4 total - 2 real = 2 imaginary)

400

How many real solutions does the following equation have?

2x2+8x+8

1 real solution

400

Simplify:

(6-8i)(2+3i)

12 - 16i + 18i - 24i2

12 + 2i + 24

36 + 2i

400

Write an equation with the following solutions:

5, -3i, -4


(remember, complex solutions come in pairs!)


(x-5)(x+3i)(x-3i)(x+4)

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