Page 190 - aljaber

QWW@ @†ì‡¨a@pa rØ

f (x ) = anx n + an−1x n−1 + + a1x + a0 ()

p an ≠ 0 ()
q
f (x)
.an q a0 p

.

α2 α1 f (x ) = x 2 + px + q

.q = α1α2 p = −(α1 + α2)

.

α1, α2, α3 f (x ) = x 3 + px 2 + qx + r
f (x)

p = −(α1 + α2 + α3)
q = α1α2 + α2α3 + α3α1
r = −α1α2α3

()

n ≥1

.
:

f (x ) = anx n + an−1x n−1 + + a1x + a0
= c(x − α1)(x − α2) (x − αn )

f (x ) α1, α2,…, αn