Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to find the solutions of the following quadratic equation. f(x) = (x - 7)(x + 2) 

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following equation by factoring. x² - 169 = 0

x = 13 x = -13

400

Solve the following equation by factoring. 8x³-27 = 0

(2x-3)(4x²+6x+9)

500

Solve the following quadratic equation by factoring. x⁴-13x²+40 

 (x²-5)(x²-8)

Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

End Behavior

100

What is the end behavior of: 

f(x) = x²+2x+1

rises on the left and right

200

What is the end behavior of: 

f(x) = -3x³+2x-1

rises on the left and falls on the right

300

What is the end behavior of: 

f(x) = -3x² - 4x⁴ + x -5

falls on the left and right

400

What is the end behavior of: 

f(x) = 9x³ + 144 - 56x⁵ + 2x⁷ - 3x²

falls on the left and rises on the right

500

What is the end behavior of the polynomial: 

f(x) = -3x² + 6x⁵ -4x^-1 + 12

This is not a polynomial :p