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Notes: Find Polynomials of Least Degree and k

October 23 rd , 2012. Notes: Find Polynomials of Least Degree and k. Example 1: Write the polynomial equation of least degree with the following roots: -2, 1, -5. Change the sign and write them as factors Multiply 2 together 3) Multiply the new equation

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Notes: Find Polynomials of Least Degree and k

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  1. October 23rd, 2012 Notes: Find Polynomials of Least Degree and k

  2. Example 1: Write the polynomial equation of least degree with the following roots:-2, 1, -5 • Change the sign and write them as factors • Multiply 2 together 3) Multiply the new equation by the 3rd factor

  3. Example 2: Write the polynomial equation of least degree with the following roots:-4, 3i • Must account for both positive and negative versions of the imaginary number

  4. Find the value of k so the remainder is zeroExample 1: 2 -k -1 -12 8 4 12 4 • Use Synthetic Division! • You know the remainder should = 0 - Work inward towards the k 2 1 3 0 R -k + 8 = 1 Solve k = 7

  5. Find the value of k so the remainder is zeroExample 1: -6 1 2 -k 24 -6 24 -24 1 -4 4 0 -k + 24 = 4 Solve k = 20

  6. Assignment: Complete Review and come to the next class ready with questions

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