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Test your factoring skills with a series of math problems ranging from finding the greatest common factor to factoring completely. Are you up for the challenge?
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Jeopardy GCF D2PS X Diagram FactorCompletely $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $400 $400 $400 $400 $500 $500 $500 $500 Final Jeopardy
What is the greatest common factor of: 12x and 3y 3 1 - $100
1 - $200 What is the greatest common factor of: 16xy2 and 6x 2x
1 - $300 What is the greatest common factor of : 25d2h2 and 15dh2 5dh2
1 - $400 Factor: 36x2 + 16x 4x (9x + 4)
1 - $500 Factor: 21x3- 35x2 +14x 7x (3x2 - 5x + 2)
2 - $100 Factor: x2 - 16 (x + 4)(x – 4)
2 - $200 Factor: 25x2 - 4 (5x + 2)(5x – 2)
2 - $300 Factor: 225x2 + 121 • Can’t factor with D2PS because this is not a subtraction problem!
2 - $400 Factor: 64x2 – 25y2 (8x + 5y)(8x – 5y)
2 - $500 The expression 9x2 – 100 can be factored as (3x + b)(3x – b). What is the value of b? 10
3 - $100 • What is missing from the x box diagram? -10 ? ? -3 -5 and 2
3 - $200 Factor: x2 + 16x + 48 (x + 12)(x + 4)
3 - $300 Factor: x2 - 12x + 10 (x – 2)(x – 5)
3 - $400 Factor: x2 - 3x - 70 (x – 10)(x + 7)
3 - $500 Factor: 3x2 - 13x - 10 (3x + 2)(x – 5)
4 - $100 What is the first step to factoring completely? Check for a GCF
4 - $200 Factor Completely: 3x2 - 12 3(x + 2)(x – 2)
4 - $300 Factoring Completely: x3 – 9x x (x + 3)(x – 3)
4 - $400 Factor Completely: y4 – 81 (y2 + 9)(y + 3)(y – 3)
4 - $500 Factor Completely: 4x2 + 20x + 24 4(x + 2)(x + 3)
Final Jeopardy The area of a rectangular fountain is represented by x2 + 12x + 20 ft2. The width is x + 10 . Find the length of the fountain. (x + 2) ft