Factor using GCF
Factor
FOIL
Divide
Critical Thinking
100

4n^2 + 8n 

4n(n+2)

100

Factor: 3x^2 - 2x - 5

(3x-5)(x+1)

100

What is (3x-3)(x+7) ? 

3x^2 + 18x - 21

100

Solve: (x^2 - 10x + 9) ÷ (x-9)

(x-1) 

100

What is the area of a rectangle if the length is (x+6) and the width is (2x+7) ? 

2x^2 + 19x + 42

200

Pull out GCF & Factor completely: 12x^2 + 60x + 72

12(x^2 + 5x + 6) = 12(x+3)(x+2)

200

Factor: 9x^2 + 66x + 21

(3x+1)(3x+21) or (9x+3)(x+7)

200

(5x-10)(6x+5)

30x^2 - 35x - 50 

200

Solve: (2x^2 - 11x + 15) ÷ (x-3)

(2x-5)

200

What is the area of a rectangle if the length is (3x+5) and the width is (4x-5) ?

12x^2 + 5x -25

300

Pull out GCF and factor: -16x^3 - 80x^2 - 36x

-4x(2x+1)(2x+9)

300

Factor: 15x^2 - 27x - 6

(15x-3)(x+2)

300

(4x+8)(5x-8)

20x^2 + 8x - 64

300

Solve: (8x^2 - 38x + 24) ÷ (n-4)

8x-6

300

What is the area of a rectangle if the length is (5x-3) and the width is (10x-4) when x=3 ft?

312 ft squared

400

Pull out GCF and factor: 63x^2 -42x -21

7(9x^2 - 6x -3) = 7(3x+1)(3x-3)

400

Factor: 6x^2 + 5x - 6

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

400

4(3x+6)(5x-7)

4(15x^2 + 9x - 42) = 60x^2 + 36x -168

400

Solve: (9x^2 - 63x -72) ÷ (x-8)

(9x+9) 

400

What is the length of a rectangle, if the width is (x+4) and the area is (2x^2 + 11x +12) ?

(2x+3)

500

Pull out GCF and factor: 18x^2 - 87x + 105

3(2x-5)(3x-7)

500

Factor: 16x^2 + 60x - 100

4(4x-5)(x+5)

500

10(10x-6)(3x+11)

10(30x^2 + 92x -66) = 300x^2 + 920x - 660

500

Solve: (5x^2 - 31x + 30) ÷ (n-5)

(5x-6)

500

What is the length of a rectangle, if the width is (x+9) and the area is (5x^2 + 37x -72) ?

(5x-8)

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