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sgrondim sgrondim
  • 09-07-2016
  • Mathematics
Answered

If a polynomial function f(x) has roots 0, 4, and 3 + square root 11 , what must also be a root of f(x)?

Verified Answer :

janmejaysinha4
janmejaysinha4 janmejaysinha4
  • 09-07-2016

3-√11
This function is evidently a quartic - a function with 4 roots. The last root has been found using the quadratic formula however, the answer always comes in pairs because the formula is
{b+√(b^2 - 4ac)}/2a and {b-√(b^2 - 4ac)}/2a. Therefore the other root must be 3-√11

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