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Section 3.2

Section 3.2. Polynomial Division; The Remainder and Factor Theorems. Dividing Polynomials. Methods Long Division Synthetic Division. Quick Method of dividing polynomials Used when the divisor is of the form x – c Last column is always remainder. Synthetic Division. Remainder Theorem.

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Section 3.2

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  1. Section 3.2 Polynomial Division; The Remainder and Factor Theorems

  2. Dividing Polynomials Methods • Long Division • Synthetic Division

  3. Quick Method of dividing polynomials Used when the divisor is of the form x – c Last column is always remainder Synthetic Division

  4. Remainder Theorem If the polynomial f(x) is divided by x – c, then the remainder is the value f(c).

  5. Factor Theorem For the polynomial f(x), if f(c) = 0, then x – c is a factor of f(x) Remember . . . If something is a factor, then it divides the term evenly with 0 remainder.

  6. Zero of Polynomials If f(x) is a polynomial and if c is a number such that f(c) = 0, then we say that c is a zero of f(x). The following are equivalent ways of saying the same thing. • c is a zero of f(x) • x – c is a factor of f(x)

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