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This problem trains for: AMC-10, AMC-12, AIME.
A computer program can output the roots of the polynomial:
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:
and are, therefore, the real roots of the polynomial:
The input must consist of the coefficient set of the polynomial Q(x):