Misc.
Factoring
Complete the Square (Trinomial)
Complete the Square (Solve)
Factoring (Solve)
100

What is a Binomial?

A quadratic equation with two terms.

100

Factor x2 + 2x + 1 to a binomial

(x + 1) (x + 1)

100

Complete the square to form a Trinomial 

x+ 2x   

x2 + 2x + 1
100
Solve x2 + 4x = 0 by completing the square
x = -4 or x = 0
100

Solve x+ 5x + 6 = 0 by factoring

x = -3 or x = -2

200

What is a Trinomial?

A quadratic with three terms.

200

Factor x2 - 4x + 3

(x - 3)(x - 1)

200

Complete the Square to form a Trinomial

x- 6x 

x- 6x + 9

200

Solve x+ 10x = 11

x = -11 or x = 1
200

Solve x- 7x + 10 = 0 by factoring

x = 2 or x = 5

300

What is a perfect square?

A number whose square root is a whole number (i.e. 25)

300

Factor x2 + 10x + 21

(x + 3)(x + 7)

300

Complete the Square

x- 10x

x- 10x + 25
300

Solve x- 6x = 16

x = 8 or x = -2
300

Solve 2x+ 18x - 20 = 0 by factoring

x = -10 or x = 1

400

What is the name of the horseshoe-like curve that results from a quadratic?

Parabola

400

Factor x2 - 18x - 40

(x + 2)(x - 20)

400

Complete the square 

2x+ 16x 

x+ 8x + 16

400

Solve 2x- 28x = 30

x = 15 or x = -1
400

Solve 6x+ 66x + 180 = 0 by factoring

x = -5 or x = -6
500

When is the only time that there is ONE x-value in a quadratic instead of two?

When the vertex/minimum or maximum value is on the x-axis.

500

Factor x2 + 15x - 594

(x - 18)(x + 33)

500

Complete the square 

3x- 30x

x- 10x + 25
500

Solve -5x- 80x = 140 by completing the square

x = -14 or x = -2

500

Solve -11x2 - 77x + 198 = 0 using factoring

x = -9 or x = 2