Rozłóż wielomian na czynniki.
a) w(x) = 5x² - 4x
b) w(x) = 2x³ + 4x² - 6x
c) w(x) = x³ + 2x² + 9x + 18
d) w(x) = x4 (do potęgi czwartej) - x³ - 8x + 8
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a)
5x²-4x=x(5x-4)
b)
2x³+4x²-6x=2x(x²+2x-3)
c)
x³+2x²+9x+18=x²(x+2)+9(x+2)=(x²+9)(x+2)
d)
x⁴-x³-8x+8=x³(x-1)-8(x-1)=(x³-8)(x-1)