Page 190 - aljaber
P. 190
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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