# Math Help - understanding this question

1. ## understanding this question

the question is
determine the coefficient of the x^(-41) term in the expansion of (3x - (1/2x^2)^28

Does this just mean plug in x^-41 wherever theres an x???

2. (3x - (1/2x^2)^28
What?!

Does this just mean plug in x^-41 wherever theres an x???
What?!

3. Originally Posted by probowl8885
the question is
determine the coefficient of the x^(-41) term in the expansion of (3x - (1/2x^2)^28
In the expansion of that you need to find the term $\dbinom{28}{k}
\left( {3x} \right)^k \left( {\frac{1}{{2x^2 }}} \right)^{28 - k} =\mathcal{C}x^{-41}$
.

The value for $\mathcal{C}$ is what you are looking for.