Rational zeros of polynomials

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Pre-Calculus

Last updated 5:42 PM on 11/3/24
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4 Terms

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p

A factor of the constant coefficient A0

(The plain number without an x)

  • Example: P(x)=x³-3x+2

    • p factors of A0=2 are +-1 and +-2

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q

Is a factor of the leading coefficient An

  • example: P(x)=x³-3x+2

    • q factors of A3= +-1

      • A3 bc 3 is the exponent

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p/q

Every rational zero of P is of the form

  • If p and q are integers

  • Used to find possible rational zeros

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