# PreCalculus

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Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s):

• PreCalculus -

(x+1)(x-√3)(x+√3)(3x-11)

no way to tell the 5th root.

• PreCalculus -

One of the rational roots would have to be a double root, so it could be

y = (x+1)^2(x-√3)(x+√3)(3x-11) = (x+1)^2(x^2+9)(3x-11)
or
y = (x+1)(x-√3)(x+√3)(3x-11)^2 = (x+1)(x^2+9)(3x-11)^2

• PreCalculus -

did I miss an i somewhere?
(x-√3)(x+√3) = x^2-3

• PreCalculus -

Suppose that a polynomial function of degree 5 with rational coefficients has -2, 5, and 3 - I as zeros. Find the other zeros.

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