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

Question

Mathematics

Cory Bailey

2 April, 01:22

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

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Answers (1)

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Matteo · Answer 1

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