Linear, exponential, logarithmic, polynomial, rational, and trigonometric functions, conic sections, binomial, surds, graphs and transformations of graphs, equation- and system-solving, and other symbolic-manipulation topics.

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Comparing Coefficients

If I have the equation: $4m(m-1)x^m .\sum_{i\geq 0}a_ix^i+x^m.\sum_{i\geq 0}a_ix^i=0$ ; $a_0\neq 0$ why am I able to say that $4m(m-1)+1=0$? I would understand if the equation rather than being an ...