# PreCalculus

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

1. 👍 1
2. 👎 0
3. 👁 1,369
1. (x+1)(x-√3)(x+√3)(3x-11)

no way to tell the 5th root.

1. 👍 0
2. 👎 0
2. 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

1. 👍 1
2. 👎 0
3. did I miss an i somewhere?
(x-√3)(x+√3) = x^2-3

1. 👍 0
2. 👎 0
4. Suppose that a polynomial function of degree 5 with rational coefficients has -2, 5, and 3 - I as zeros. Find the other zeros.

1. 👍 0
2. 👎 0

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