
factoring Challenge Problems
Presentation
•
Mathematics
•
8th - 12th Grade
•
Hard
SHAD HICKMAN
FREE Resource
8 Slides • 5 Questions
1
factoring when a=1 and c is not prime
2
Five friends Bob, Moe, Shemp, Felipe, and Curly are having an argument about this challenge problem. The teacher hears their argument and asks them each their answers
3
a. Bob say that there are three values of m that work in this challenge problem. m = -13, -8, -7
b. Moe says that there are three values of m that work in this challenge problem. m = 13, 8, 7
c. Shemp says that there are three values of m that work in this challenge problem. m = 11, 4, 1
4
d, Felipe says that there are six values of m that work in this challenge problem. m = 13, 8, 7, 11, 4, and 1
e. Curly says that there are six values of m that work in this challenge problem. m = -13, -8, -7, -11, -4, and -1
5
Poll
Who do you think is correct?
Bob
m = {-13,-8,-7}
Moe
m = {13, 8, 7}
Shemp
m = {11, 4, 1}
Felipe
m = {13,8,7, 11,4, 1}
Curly
m = {-13,-8,-7, -11,-4, -1}
6
The teacher sighs and says, “well you are all wrong, but Felipe and Shemp have the correct number of answers”
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This excites Felipe and Curly, but then Moe asks,” Who is closest to the correct answer?”, to which the teacher responds” Shemp”
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This makes Shemp happy and asks “Who is the most wrong?”, to which the teacher responds , “Bob and Moe”
9
This excites Felipe and Curly, but then Moe asks,” Who is closest to the correct answer?”, to which the teacher responds” Shemp”
10
Open Ended
Recall that
Bob stated that m = {-13, -8, -7}
Moe stated m ={13, 8, 7}.
What did they both do wrong based on the given equation?
11
Open Ended
Recall that x2+mx−12=0
Shemp stated that m = {11, 4, 1}
But this means Shemp is short three answers
What are the three missing answers?
12
Open Ended
x2+mx−12=0
State the six factorable equations related to this challenge problem
13
Open Ended
x2+mx−12=0
State the six factorable equations related to this challenge problem and their solutions
factoring when a=1 and c is not prime
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