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
prosze bardzo o pomoc
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a)
P(x)= 14
+ 21![x^{3} x^{3}](https://tex.z-dn.net/?f=x%5E%7B3%7D)
P(x)=
(14
+ 21) = 7
(2
+ 3)= =14
(
+3/2)
b)
P(x)=24
- 36![x^{4} x^{4}](https://tex.z-dn.net/?f=x%5E%7B4%7D)
P(x)=24
(
- 3/2) = 24
(x-
)(x+![\sqrt{3/2} \sqrt{3/2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%2F2%7D)
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)=![(x+1)^{3} (x-1)^{3} (x+1)^{3} (x-1)^{3}](https://tex.z-dn.net/?f=+%28x%2B1%29%5E%7B3%7D+%28x-1%29%5E%7B3%7D+)