Page 209 - aljaber

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( )( ). x 4 + x 3 − 7x2 + 13x + 4 = x2 + 4x + 1 x2 − 3x + 4 )

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( )x 4 − 3x 3 − x + 3 = (x − 3)(x − 1) x2 + x + 1

.c = −3 b = −1 a = 1

.abc = 1×(−1)×(−3) = 3

:( ) (

( )x 6 − x 4 − x 2 + 1 = x 2 + 1 (x + 1)2(x − 1)2

.abc = 0 .b = 0 a = c = 1

. f (1) = 113 + 1 = 1 + 1 = 2 :( ) (
(
. f (−2) = 0 x + 2 :( )

−8 + 12m2 − 2m + 4 = 0
12m2 − 2m − 4 = 0
6m2 − m − 2 = 0

m = 1 ± 1 − 4 × (−2)× 6 = 1 ± 49 = 1 ± 7
12 12 12

.m2 = 1−7 = −1 m1 = 1+7 = 2
12 2 12 3

. m1 + m2 = 2 − 1 = 1
3 2 6

:( ) ( )