TheHolyTrilogy2002
TheHolyTrilogy2002 TheHolyTrilogy2002
  • 10-03-2022
  • Mathematics
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A Cubic Polynomial with rational coefficients has the roots 6 + SQRT6 and 2/3 FInd one additional root.

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jimthompson5910 jimthompson5910
  • 10-03-2022

Answer:  6 - sqrt(6)

This is because of the rule that if we have rational coefficients, then one root of [tex]a+\sqrt{b}[/tex] must have a conjugate pair of [tex]a-\sqrt{b}[/tex]. Multiplying the conjugates will have the square roots cancel out.

For more information, check out the difference of squares rule.

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