Factoring in Skew-Polynomial Rings over Finite Fields - the David R
Polynomial Factoring Scavenger Hunt
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Transcript of Polynomial Factoring Scavenger Hunt
-2, 3, 5
x3−6 x2−x+30
-5, -4, 3
x3+6 x2−7 x−60
-2, -1, 2
x3+x2−4 x−4
-3,-2,-1
x3+6 x2+11 x+6
-1, 3, 5
x3−7 x2+7 x+15
1, 5, 6
x3−12 x2+41x−30
1, 3, 4
x3−8 x2+19x−12
2, 4, 5
x3−11 x2+38x−40
-5,-3,-2
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
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
Problem – show your work! Answer