This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Real Zeros
Section 4.2 The Rational Zero Test
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...
View Full Document
- Winter '11