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Dividing Polynomials; Remainder and Factor Theorems

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The Remainder and Factor Theorems: Synthetic division can be used to find the values of polynomials in a sometimes easier way than substitution. This is shown by the next theorem. If the polynomial P(x) is divided by x – c, then the remainder is the value P(c). Example 5: Use synthetic division and the Remainder Theorem to evaluate P(c) if

  Factors, Division, Polynomials, Remainder, Remainder and factor, Of polynomials

11.Remainder and Factor Theorem (A)

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remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2. Before doing so, let us review the meaning of basic terms in division. Terms in division We are familiar with division in arithmetic. The number that is to be divided is called the dividend. The dividend is divided by the divisor.

  Factors, Division, Polynomials, Remainder, Remainder and factor

5.1 The Remainder and Factor Theorems.doc; Synthetic …

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Page 2 (Section 5.1) Example 4: Perform the operation below. Write the remainder as a rational expression (remainder/divisor). 2 1 2 8 2 3 5 4 3 2 + − + + x x x x x Synthetic Division – Generally used for “short” division of polynomials when the divisor is in the form x – c. (Refer to page 506 in your textbook for more examples.)

  Factors, Division, Polynomials, Remainder, Remainder and factor, Division of polynomials

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