Show that the given values for a and b are lower and upper bounds for the real zeros of the P(x) = 2x^4 - 6x^3 + x^2 - 2x + 3; a = -1, b = 3
for a = -1:
Since the row containing the quotient and remainder has alternately nonpositive and nonnegative entries
for b = 3:
Since the row containing the quotient and remainder has all nonnegative entries
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Find a polynomial with integer coefficients that satisfies the given conditions.
Q has degree 3 and zeros 4, 4i, and -4i.