Finding the largest coefficient in its corresponding term

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f(x)=(1.2x-11 + 1.5x7)20 (1.25x21 + 1.7x-0.05)50

Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient.

Would like to know the method of doing this question in an easier way.
 
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cheahchungyin said:
f(x)=(1.2x-11 + 1.5x7)20 (1.25x21 + 1.7x-0.05)50

Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient.

Would like to know the method of doing this question in an easier way.

Easier than what? Are you saying you have already done the problem and would like to know an easier way? Well, first show us your solution; for all we know, maybe you have already done it in the easiest way!

RGV
 
cheahchungyin said:
f(x)=(1.2x-11 + 1.5x7)20 (1.25x21 + 1.7x-0.05)50

Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient.

Would like to know the method of doing this question in an easier way.

Easier than what? Are you saying you have already done the problem and would like to know an easier way? Well, first show us your solution; for all we know, maybe you have already done it in the easiest way!

RGV
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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