Rozłóż wielomian na czynniki:
a) 4a²b + 8ab² - 12ac
b) 4y(x²- 2x + 5) -3(-x²y + 2xy - 5y)
c) 8p² - 40p + 50
d) 27 m^4 - 3m²
1. x² - 17x + 42
2. x² - 7x + 14
3. ¹/₉x² + ⁴/₃x + 4
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a) 4a(ab+2b² -3c)
b) =4x²-8xy+20y+3x²y-2xy-15y= 4x²-10xy+35y+3x²y= x²(4+3y)-5y(2x-7)
c) 2(4p² -20p+25)
d) 3m² (9m² -1)
1.delta=289 pierwiastek z delty= 11
x1= -17-11/2=-14
x2= -17+11/2= -3
x² - 17x + 42=(x+14)(x+3)
2.
3. (1/3x+2)²zalacznik