EXAMPLE 1 List possible rational zeros List the possible rational zeros of f using the rational zero theorem. a. f (x) = x 3 + 2x 2 – 11x + 12 Factors.

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Presentation transcript:

EXAMPLE 1 List possible rational zeros List the possible rational zeros of f using the rational zero theorem. a. f (x) = x 3 + 2x 2 – 11x + 12 Factors of the constant term: + 1, + 2, + 3, + 4, + 6, + 12 Factors of the leading coefficient: + 1 Possible rational zeros: +, +, +, +, +, Simplified list of possible zeros: + 1, + 2, + 3, + 4, + 6, + 12

EXAMPLE 1 List possible rational zeros b. f (x) = 4x 4 – x 3 – 3x 2 + 9x – 10 Factors of the constant term: + 1, + 2, + 5, + 10 Factors of the leading coefficient: + 1, + 2, + 4 +, +, +, +, +, +, +, +, +, +, + Possible rational zeros: Simplified list of possible zeros: + 1, + 2, + 5, + 10, +, +,

GUIDED PRACTICE for Example 1 List the possible rational zeros of f using the rational zero theorem. 1. f (x) = x 3 + 9x x + 15 ANSWER + 1, + 3, f (x) =2x 3 + 3x 2 – 11x – , + 2, + 3, + 6, +, ANSWER