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Polynomial Factoring Scavenger Hunt

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Use this scavenger hunt when going over the basic concepts of finding factors of polynomials where the leading coefficient =1. Great engagement from students.

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Page 1: Polynomial Factoring Scavenger Hunt

-2, 3, 5

Page 2: Polynomial Factoring Scavenger Hunt

x3−6 x2−x+30

Page 3: Polynomial Factoring Scavenger Hunt

-5, -4, 3

Page 4: Polynomial Factoring Scavenger Hunt

x3+6 x2−7 x−60

Page 5: Polynomial Factoring Scavenger Hunt

-2, -1, 2

Page 6: Polynomial Factoring Scavenger Hunt

x3+x2−4 x−4

Page 7: Polynomial Factoring Scavenger Hunt

-3,-2,-1

Page 8: Polynomial Factoring Scavenger Hunt

x3+6 x2+11 x+6

Page 9: Polynomial Factoring Scavenger Hunt

-1, 3, 5

Page 10: Polynomial Factoring Scavenger Hunt

x3−7 x2+7 x+15

Page 11: Polynomial Factoring Scavenger Hunt

1, 5, 6

Page 12: Polynomial Factoring Scavenger Hunt

x3−12 x2+41x−30

Page 13: Polynomial Factoring Scavenger Hunt

1, 3, 4

Page 14: Polynomial Factoring Scavenger Hunt

x3−8 x2+19x−12

Page 15: Polynomial Factoring Scavenger Hunt

2, 4, 5

Page 16: Polynomial Factoring Scavenger Hunt

x3−11 x2+38x−40

Page 17: Polynomial Factoring Scavenger Hunt

-5,-3,-2

Page 18: Polynomial Factoring Scavenger Hunt

Polynomial Scavenger Hunt Answer Key page 1Front Side Word Problem Description of Solution Correct

Answer

-5, -3, -2 x3−6 x2−x+305˩ 1 -6 -1 30 -2˩ 1 -1 -6 5 -5 -30 -2 6 1 -1 -6 0 1 -3 0

-2, 3, 5

-2, 3, 5 x3+6 x2−7 x−60-5˩ 1 6 -7 -60 -4˩ 1 1 -12 -5 -5 60 -4 12 1 1 -12 0 1 -3 0

-5, -4, 3

-5, -4, 3 x3+x2−4 x−4-2˩ 1 1 -4 -4 -1˩ 1 -1 -2 -2 2 4 -1 2 1 -1 -2 0 1 -2 0

-2, -1, 2

-2, -1, 2 x3+6 x2+11 x+6-3˩ 1 6 11 6 -2˩ 1 3 2 -3 -9 -6 -2 -2 1 3 2 0 1 1 0

-3, -2, -1

-3, -2, -1 x3−7 x2+7 x+153˩ 1 -7 7 15 5˩ 1 -4 -5 3 -12 -15 5 5 1 -4 -5 0 1 1 0

-1, 3, 5

-1, 3, 5 x3−12 x2+41x−30 5˩ 1 -12 41 -30 6˩ 1 -7 6 5 -35 30 6 -6 1 -7 6 0 1 -1 0

1, 5, 6

1, 5, 6 x3−8 x2+19x−124˩ 1 -8 19 -12 3˩ 1 -4 3 4 -16 12 3 -3 1 -4 3 0 1 -1 0

1, 3, 4

1, 3, 4 x3−11 x2+38x−405˩ 1 -11 38 -40 4˩ 1 -6 8 5 -30 40 4 -8 1 -6 8 0 1 -2 0

2, 4, 5

2, 4, 5 x3+10x2+31 x+30-5˩ 1 10 31 30 -3˩ 1 5 6 -5 -25 -30 -3 -6 1 5 6 0 1 2 0

-5, -3, -2

Page 19: Polynomial Factoring Scavenger Hunt

Polynomial Scavenger Hunt Name: ________________________ Date: ____________ Per: _____

Around the room are posted nine polynomial situations that need to be solved using synthetic division. Your goal is to use the techniques you’ve learned to solve the problems.

Start with one problem, and solve it on this paper. Once you have an answer, find it posted around the room. Your next problem is on the back of that paper! Record your answers on this page. Good luck!

Problem – show your work! Answer

Page 20: Polynomial Factoring Scavenger Hunt

Problem – show your work! Answer