Factoring Quadratics

Factor by Distributive Property

1

Solve the equation by factoring.

6x²-2x=0

What is 0 and 1/3?

2

Solve the equation by factoring.

x²=7x

What is 0 and 7

3

Solve the equation by factoring.

20x²=-25x

What is 0, and -5/4.

4

Solve the equation by factoring.

r²-4r=0

What is 0 and 4.

5

Solve the equation by factoring.

25r²-5r = 0

What is 0 and 1/5

Factor a Trinomial

1

x²+x-30=0

Solve by factoring.

5 and -6

2

x²+14x+33=0

Solve by factoring.

-11 and -3

3

x²-3x=10

Solve by factoring.

5 and -2

4

x²-3=2x

Solve by factoring.

3 and -1

5

x²+6n = -8

Solve by factoring.

-4 and -2

Factor a Trinomial a is not equal to 1

1

2x²-x-3=0

Solve by factoring.

3/2 and -1

2

5x²+28x-12=0

Solve by factoring.

2/5 and -6

3

2x²-11x-40=0

Solve by factoring.

8, -5/2

4

6x²-5x-4=0

Solve by factoring.

-1/2 and 4/3

5

12x²-8x+1=0

Solve by factoring.

1/6 and 1/2

Difference of Squares

1

x²-100

Solve by factoring.

10 and -10

2

x²=64

Solve by factoring.

8 and -8

3

x²+14 = 50

Solve by factoring.

6 and -6

4

x²-169 = 0

Solve by factoring.

13 and -13

5

124 = x²+3

Solve by factoring.

11 and -11

Perfect Square Trinomial

1

4x²-28x+49=0

Solve by factoring.

7/2

2

9x²+6x = -1

Solve by factoring.

-1/3

3

16x²-24x+13=4

Solve by factoring.

3/4

4

81x²+36x=-4

Solve by factoring.

-2/9

5

25x²+80x+64=0

Solve by factoring.

-8/5