Question

Rozkladanie wielomianów na czynniki

W(x)=1-1/9x²

W(x) =1+216x³

W(x) =x³+15x²+75x+125

W(x) =a³-3

W(x) =x²-81

W(x) x²+⅔x+¹/₉

W(x) =64x³-1

W(x) 625x⁴-81

Answer 1

W(x)=1-1/9 x²=(1+1/3 x)(1-1/3 x)

 

W(x)=1+216x³=1+(6x)³=(1+6x)(1-6x+36x²)

 

W(x)=x³+15x²+75x+125=(x+5)³

 

W(x)=a³-3=a³-(∛3)³ =(a-∛3)(a²+∛3 a+(∛3)²)=(a-∛3)(a²+∛3 a+3^2/3)

 

W(x)=x²-81=(x+9)(x-9)

 

W(x)=x²+2/3 x+1/9=(x+1/3)²

 

W(x)=64 x³-1=(4x)³-1=(4x-1)(16x²+4x+1)

 

W(x)=625x^4-81=(25x²+9)(25x²-9)=(25x²+9)(5x+3)(5x-3)

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