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Leading coefficient of a polynomial is the coefficient of the highest power of x.
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Leading coefficient is inherently non-zero
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Monic polynomials: leading coefficient == 1
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Rational Root Theorem:
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forall P(x): polynomial of degree n with integer coefficients
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forall p, q: Z such that p/q is a root of P(x)
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p is a factor of a[0]
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q is a factor of a[n]
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