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NOTES: FIND POLYNOMIALS OF LEAST DEGREE AND K October 23 rd, 2012

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

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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

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Use Synthetic Division! -You know the remainder should = 0 - Work inward towards the k 2 -k -1 -12 8 4 12 2 1 3 0 R -k + 8 = 1 Solve k = 7 4

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1 2 -k 24 -6 24 -24 -6 1 -4 4 0 -k + 24 = 4 Solve k = 20

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

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Warm Up: 1) Solve: 3x 4 – 2x 3 – 37x 2 + 24x + 12 = 0 2) Graph: x 3 + x 2 – 6x = g(x)

Warm Up: 1) Solve: 3x 4 – 2x 3 – 37x 2 + 24x + 12 = 0 2) Graph: x 3 + x 2 – 6x = g(x)

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