4.2 Real Zeros

42 real zeros

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Unformatted text preview: Real Zeros Section 4.2 The Rational Zero Test The r If a rational number is a zero of the polynomial s function then 0 f ( x) = an x n + L + a1 x + a r is a factor of the constant term anda0 s is a factor of the leading coefficient an Bounds Test Bounds Let f(x) be a polynomial with positive leading coefficient. If d > 0 and every number in the last row in the synthetic division of f(x) by x – d is nonnegative, then d is an upper bound for the real zeros of f. If c < 0 and the numbers in the last row in the synthetic division of f(x) by x – c are alternately positi...
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