Progress Check 4 Review

Discriminant

100

What type of solution(s) should you expect from the equation x² + 4x + 4 = 0?

=0

1 real, rational solution

200

What type of solution(s) should you expect from the equation x² - 2x + 3 = 0?

= (-8)

2 complex conjugate solutions

300

What type of solution(s) should you expect from the equation 2x² - 16x + 32 = 0?

= 0

1 real rational solution

400

What type of solution(s) should you expect from the equation 2x² - 7x - 3 = 0?

= 73

2 Real Irrational Solutions

500

What type of solution(s) should you expect from the equation -3x² - 15x - 9 = 0?

= 117

2 Real, Irrational Solutions

Quadratic Formula

100

x² - 5x + 6 = 0

x = 2

x = 3

200

x² - 25 = 0

x = 5

x = (-5)

300

-2x² + 10x + 5 = 0

x = (-0.458) or x = 5.458

or 

x = (-10 +- 2sqrt(35))/-4

400

4x² + 8x + 7 = 4

x = 0.5

x = -1.5

500

4x² = 64

x = 4

x = -4

Factors into Standard Form

100

Multiply (x - 3)(x + 4)

x² + x - 12

200

Multiply (2x + 3)(x + 3)

2x² + 9x + 9

300

Multiply (-2x + 4)(3x + 12)

-6x² - 12x + 48

400

Multiply (3x + 3)(3x - 3)

9x² - 9

500

Multiply (5x + 3)(-4x - 13)

-20x² -77x - 39

Prime Factorization

100

sqrt(20)

2sqrt(5)

200

sqrt(48)

4sqrt(3)

300

sqrt(125)

5sqrt(5)

400

sqrt(-200)

10isqrt(2)

500

sqrt(-294)

7isqrt(6)

Random Vocabulary

100

What is another name for the x-values on a coordniate grid?

Domain

Independent Variable

Input

200

What is the name of a point on the graph where the slope changes sign?

A vertex

300

What set of numbers are composed of numbers with real and imaginary parts?

Complex Numbers

400

What is the standard form of a quadratic function?

ax² + bx + c = 0

500

What type of interval exists on a graph when the 

y-values are positive?

A positive interval