Show:
Completing the Square
Solving Quadratic Equations
Find c to make a perfect square trinomial
Factoring!
Matching Forms
100

Complete the square and rewrite as perfect square factors:

x2 + 6x + ____

What is

x2 + 6x + 9 = (x + 3)2

100

Solve:   f2-14f+13=0

f= 13 or 1

100

x2 +10x + c

25

100

Factor

x2 - x - 12

What is

(x - 4)(x + 3)

100

The intercept form of 

2x2 + 9x - 5 ?

(2x - 1)(x + 5)

200

Complete the square and rewrite as perfect square factors:

x2 + 16x + ____

What is 

x2 + 16x + 64 = (x + 8)2

200

Solve:  

(x+ 4)(2x - 1) = 0

x = {-4, 1/2}

200

x2 - 30x+ c

225

200

Factor

2x2 + 9x + 10

What is

(2x + 5)(x + 2)?

200

The standard form of 

-2(x+3)2 - 10

What is

-2x2 - 12x - 28 

300

Complete the square and rewrite as perfect square factors

x2 - 20x + ____

What is

x2 - 20x + 100 = (x - 10)2

300

Solve:  5x2 - 3x - 2 = 0

x= 1 or -2/5

300

x2 -24x + c

144

300

Factor

6x2 + 5x + 1

What is

(2x + 1)(3x +1)?

300

The three forms of 

x2 + 8x - 9

What are

standard form: x2 + 8x - 9

intercept form: (x - 1)(x + 9)

vertex form: (x + 4)2 - 25

400

Complete the square and rewrite as perfect square factors

x2 - 9x + ____

What is

x2 - 9x + 81/4 = (x - 9/2)2

400

Solve: 

2x2 + 2x - 7 = 0

x={(-2+-2sqrt15)/4}

 or

{(-1+-sqrt15)/2}


400

x2 + 3x + c

9/4

400

Factor

4x2 - 13x - 12

What is

(4x + 3)(x - 4)?

400

The three forms of

x2 - 6x + 8

What are

standard form: x2 - 6x + 8

intercept form: (x - 2)(x - 4)

vertex form: (x - 3)2 - 1 

500

Complete the square and rewrite as perfect square factors

x2 + 7x + ____

What is

x2 + 7x + 49/4 = (x + 7/2)2

500

Solve:  

2x2 + 2x + 9 = 0

x={(-2+-2isqrt17)/4}

 or

{(-1+-isqrt17)/2}

500

x2 - 11x + c

121/4

500

Factor

5x2 - 12x + 4

What is

(5x - 2)(x - 2)?

500

The three forms of

4x2 + 8x + 3

What are

standard form: 4x2 + 8x + 3

intercept form: (2x + 3)(2x +1)

vertex form: 4(x+1)2 -1