Can you really say the student is wrong? He did find x!
A better worded task is "Find the value of x in the following diagram."
What's the answer? of course, it is the 3-4-5 Pythagorean triple!
The student better write "5 cm", "5" is not correct.
The image above came from this link.
That funny "Expand" question for Peter is testing the Binomial Theorem, another important theorem for Algebra 1 students.
To be precise, "a" and "b" needs to be specified as any real number. If "n" is not a positive integer, we can't expect Algebra 1 students able to handle.
Newton even came up with a negative binomial theorem.... which I haven't found a very easy-to-understand proof yet.
The binomial theorem is not just true for positive integers, but for real numbers, even complex numbers!
1 comment:
o mY, THAT IS SUCH A GREAT WAY TO SOLVE THE PROblem. hehe.. hilarious
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