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[Division Algorithm]

q(x ) g(x) f (x)

.r(x) = 0 ( ) r(x) ( )

0 ≤ deg(r(x)) < deg(g(x)) f (x) = q(x)g(x) + r(x)

[Roots of Polynomials] (.)

.

.
.
. ()

n f (x)

x −a

f (x) = (x − a)q(x) + f (a) q(a)

.n −1 x −a
f (x) ( )
. f (a) = 0