Rational Zero Theorem Rational Zero Th’m: If the polynomial

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Presentation transcript:

Rational Zero Theorem Rational Zero Th’m: If the polynomial has integer coefficients, then every rational zero of f is of the form p/q where p and q have no common factors other than 1 and p is a factor of the constant a0 and q is a factor of the leading coefficient an. Ex 1: Find the possible rational zeros of

Ex 2: Find the rational zeros of x3 – 4x2 – 2x + 8 = 0. Ex 3: Find the rational roots of x3 + x2 – 3x - 3 = 0.

Ex 4: Find the rational zeros of f (x) = x3 + x + 1. No rational zeros. Ex 5: Find the rational zeros of f (x) = 2x3 + 3x2 - 8x + 3. Ex 6: Find the real zeros of f (x) = 10x3 - 15x2 - 16x + 12.

Practice Assignment: Section 2.3B (pg 124) #45 - 56