Expanding
Factoring Easy Trinomials
Factoring Tricky Trinomials
Completing the Square
100

Expand and simplify

(x+2)(x+1)

x2+3x+2

100

Factor

x2 + 7x + 10

(x+5)(x+2)

100

Factor

2x2 + 7x + 3

(2x + 1)(x+3)

100

Complete the square

x2 - 10x + 25

(x - 5)2

200

Expand and simplify

(x+4)2

x2 + 8x + 16

200

Factor 

x2 + 12x + 32

(x+8)(x+4)

200

Factor 

3x2 - 17x + 10

(3x-2)(x-5)

200

Complete the square

2x2 + 4x - 3

2(x+1)2 - 5

300

Expand and simplify

(2x−5)(3x+7)

6x2 + 11x - 35

300

Factor

x2 - 8x + 15

(x-5)(x-3)

300

Factor 

4x2 + 14x - 8

(2x - 3)(2x - 3)

or

(2x-3)2

300

Complete the Square

3x2 + 18x + 27

3(x+3)2

400

Expand and simplify

(x-2)3

x3 - 6x2 + 12x - 8

400

Factor

x2 + 18x + 81

(x+9)(x+9)

or 

(x+9)2

400

Factor

5x2 + 14x - 8

(5x-4)(x+2)

400

Complete the Square

4x2 - 20x + 25

(2x-5)2

500

Expand and simplify

(3x+2)2−(2x−1)(x+4)

7x2 + 5x + 8

500

Factor

x2 -21x + 108

(x-9)(x-12)

500

Factor

6x2 - 11x -10

(3x + 2)(2x - 5)

500

Complete the Square 

5x2 + 15x + 12

5(x+1)2 +7

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