The user-friendly version of this content is available here.

The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.

This problem trains for: AMC-10, AMC-12, AIME.

A computer program can output the roots of the polynomial:

equation

if the set of its coefficients is given as input.

Which of the following inputs will generate the x-coordinates of the points where the polynomial intersects the line y=x as output?

The x-coordinates of the points where the polynomial intersects the line y=x are the real roots of the equation:

equation

equation

equation

equation

and are, therefore, the real roots of the polynomial:

equation

The input must consist of the coefficient set of the polynomial Q(x):

equation