Wyznacz pierwiastki wielomianu określonego wzorem:
a) ,
b) .
a)
b)
W(x)=(x+3)(x-2)(x-1)
(x+3)(x-2)(x-1)
x+3=0
x=-3
x-2=0
x=2
x-1=0
x=1
x={-3,1,2}
W(x)=(2x+9)(8-3x)(x+1)
(2x+9)(8-3x)(x+1)=0
2x+9=0
2x=-9
x=-4,5
8-3x=0
-3x=-8
x=8/3
x=2 2/3
x+1=0
x=-1
x={-4,5 ; -1 ; 2 2/3}
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a)
b)
a)
W(x)=(x+3)(x-2)(x-1)
(x+3)(x-2)(x-1)
x+3=0
x=-3
x-2=0
x=2
x-1=0
x=1
x={-3,1,2}
b)
W(x)=(2x+9)(8-3x)(x+1)
(2x+9)(8-3x)(x+1)=0
2x+9=0
2x=-9
x=-4,5
8-3x=0
-3x=-8
x=8/3
x=2 2/3
x+1=0
x=-1
x={-4,5 ; -1 ; 2 2/3}