Finding the largest coefficient in its corresponding term

In summary: Xn appears to be the term with the largest coefficient. The question asks to determine n and the corresponding coefficient using an easier method.
  • #1
cheahchungyin
49
0
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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  • #2
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
 
  • #3
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
 

1. How do you find the largest coefficient in a term?

The largest coefficient in a term can be found by first identifying the term and then examining all of the coefficients within that term. The coefficient with the highest numerical value is considered the largest.

2. Are there any shortcuts or tricks to quickly finding the largest coefficient?

There are a few shortcuts that can be used to quickly find the largest coefficient in a term. One method is to arrange the terms in descending order, with the term with the largest coefficient first. Another method is to use the "find" function on a calculator or computer program to automatically identify the largest coefficient.

3. How important is it to find the largest coefficient in a term?

Finding the largest coefficient in a term is important because it can provide valuable information about the equation or expression being studied. It can help determine the most influential variable or factor and can also be used to simplify or solve the equation.

4. Can the largest coefficient ever be negative?

Yes, the largest coefficient in a term can be negative. This simply means that the term has a larger negative value compared to the other coefficients in the term. It is important to pay attention to the sign of the coefficient when identifying the largest one.

5. Is there a difference between the largest coefficient and the leading coefficient?

The largest coefficient and the leading coefficient refer to the same thing - the coefficient with the highest numerical value in a term. The term "leading coefficient" is often used in polynomial equations, while "largest coefficient" is a more general term that can be applied to any type of equation or expression.

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