Rozłóż wielomain na czynniki nierozkładalne.
a)P(x)=14x do potęgi5+21x do potegi 3
b)P(x)=24x do potęgi6-36x do potęgi 4
c)P(X)=7xdo potęgi8-21xdo potęgi6
d)P(x)=2xdo potegi4-16x
e)P(x)=xdo potęgi6-1
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a)
P(x)= 14 + 21
P(x)= (14 + 21) = 7 (2 + 3)= =14 (+3/2)
b)
P(x)=24 - 36
P(x)=24 ( - 3/2) = 24 (x-)(x+
c)
P(x)=7 - 21 = 7 ( - 3 ) = 7 (x - )(x + )
d)
P(x)=2 - 16x = 2x ( - 8 ) = 2x ( x-2 )( + 2x + 4)
e)
P(x)=P(x)= - 1 = - =
= =
=(x-1)(x+1)( + 2x +1 ) ( - 2x +1)=
=(x+1) (x+1)(x+1)(x-1)(x-1)(x-1)=