Binomial (1 Viewer)

[Archman]

15C11*2^11
for stuff in the form of (a-b)^15
you firstly use the "standar hsc method" to find the greatest term, ignoring the negative for a sec. note the one you get will be the one with the greatest magnitude. now check if that term is negative in the actual expansion(which is not hard). if it is negative, then the largest must be on the left or right of it, just compare them and find the larger.

 

[CM_Tutor]

Firstly, I would consider the method described by Archman to be the standard - although I don't use
T_k+1 / T_k = (n - k + 1) / k, as the question can easily be written so that this method is unacceptable.

I also agree that the difference between greatest coefficient and coefficient with the largest magnitude is ignored in some trial solutions.

However, this does not mean that the method is flawed, it means that many people do not correctly learn / apply the method. The method itself is fine.

PS: All should be aware that Grove, as a textbook, is extremely ordinary... to put it politely.