Exercise 1.

Show that y=2 is a solution of our depressed cubic

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Then find the other two roots. Which of the roots equals our solution

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Answer.

Since

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y=2 is a solution to

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Using polynomial long division, we can then factor

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The polynomial tex2html_wrap_inline47 has the complex roots tex2html_wrap_inline49 . Since the solution we computed is real, it must equal 2:

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Check this on a calculator!

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Helmut Knaust
Wed Jun 25 13:18:15 MDT 1997

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