Prove that if a real number c satisfies a polynomial equation of the form
r3 x3 + r2 x2 + r1 x + r0 = 0,
where r0, r1, r2, and r3 are rational numbers, then c satisfies an equation of the form
n3 x3 + n2 x2 + n1 x + n0 = 0,
where n0, n1, n2, and n3 are integers.
Definition: A number c is called a root of a polynomial p(x) if, and only if, p(c) = 0.
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