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notes/MA1006/notes-2023-09-21
bluepython508 688d1ec426 Initial work
2023-11-01 08:55:40 +00:00

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