the zero of the polynomial 2x ^2009+3x^2008+2x^2007+3x^2006+.......+2x+3 is:
Here's a slightly different approach:
The polynomial can be written as follows:
now from the rational root theorem we know that the rational roots of the polynomial must be from the following group of possible solutions:
the positive solutions are obviously impossible, so now using the formula for the sum of the geometric progression we can easily find that the correct solution is: