Rozłóż wielomnian na czynnikiki:
a) 5x⁴-20=
b) -4x⁴+26x³-12x²=
a) 5x⁴-20= 5 ( x⁴ - 4) = 5 ( x² -2) ( x² +2 ) = 5 ( x - √2) ( x+ √2) ( x² + 2)
b) -4x⁴+26x³-12x²= -2x² ( 2x² - 13x + 6 ) = -4x² ( x - 6) ( x -1/2)
A 5x⁴-20= 5 ( x⁴ - 4) = 5 ( x² -2) ( x² +2 ) = 5 ( x - √2) ( x+ √2) ( x² + 3)
B -4x⁴+26x³-12x²= -2x² ( 2x² - 13x + 6 ) = -4x² ( x - 6) ( x -1/2)
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a) 5x⁴-20= 5 ( x⁴ - 4) = 5 ( x² -2) ( x² +2 ) = 5 ( x - √2) ( x+ √2) ( x² + 2)
b) -4x⁴+26x³-12x²= -2x² ( 2x² - 13x + 6 ) = -4x² ( x - 6) ( x -1/2)
A 5x⁴-20= 5 ( x⁴ - 4) = 5 ( x² -2) ( x² +2 ) = 5 ( x - √2) ( x+ √2) ( x² + 3)
B -4x⁴+26x³-12x²= -2x² ( 2x² - 13x + 6 ) = -4x² ( x - 6) ( x -1/2)