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(10 points) Let ao, a1, a2, a3 be real constants such that a3 + 0, and consider the polynomial p(x) = do + a1x +
(10 points) Let ao, a1, a2, a3 be real constants such that a3 + 0, and consider the polynomial p(x) = do + a1x + a2x2 + a3x3. (2) Prove that it has at least one real root. (Hint: Consider what happens as x -> too and as x > -00)
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