3.6

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The Rational Root Theorem states:
If a polynomial P(x) has integer coefficients, then every rational root of P(x)=0 can be written in the form p/q, where

where p is a factor of the constant term and q is a factor of the leading coefficient of P(x).

where p is the leading coefficient and q is the constant term of P(x).

where p is the constant term and q is the leading coefficient of P(x).

where p is a factor of the leading coefficient and q is a factor of the constant term of P(x).

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a+b\sqrt{c} is also a root of P(x).

b-a\sqrt{c} is also a root of P(x).

a-b\sqrt{c} is also a root of P(x).

b+a\sqrt{c} is also a root of P(x).

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b-ai is also a root of P(x).

a+bi is also a root of P(x).

a-bi is also a root of P(x).

b+ai is also a root of P(x).

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has at least two zeros in the set of complex numbers.

no zeros in the set of complex numbers.

has at least one zero in the set of complex numbers.

has at least one zero in the set of real numbers.

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has exactly n+1 zeros.

has exactly n zeros.

has exactly n-1 zeros.

has at least n zeros.