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a) 3x²-12x
b) x³-3x²-x+3
c) x³+5x²-4x-20
d) 9x²-16
ex³-5x²+4x
a) 3x²-12x = 3x(x-4 )
x=0 ∨ x-4=0
x=0 ∨ x=-4
b) x³-3x²-x+3 = x²(x-3)-1(x-3) = (x²-1)(x-3)= (x-1)(x+1)(x-3)
x-1=0 ∨ x+1=0 ∨ x-3=0
x=1 ∨ x=-1 ∨ x=3
c) x³+5x²-4x-20 = x²(x+5)-4(x+5)= (x²-4)(x+5) = (x-2)(x+2)(x+5)
x-2=0 ∨ x+2=0 ∨ x+5=0
x=2 ∨ x=-2 ∨ x=-5
d) 9x²-16=0 | :9
x²=16/9 | √
x= -4/3 ∨ x= 4/3
e) x³-5x²+4x = x(x²-5x+4) = x(x-4)(x-1)
x²-5x+4=0 ∨ x=0
Δ=9
√Δ=3
x₁= 4 x₂=1
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a) 3x²-12x = 3x(x-4 )
x=0 ∨ x-4=0
x=0 ∨ x=-4
b) x³-3x²-x+3 = x²(x-3)-1(x-3) = (x²-1)(x-3)= (x-1)(x+1)(x-3)
x-1=0 ∨ x+1=0 ∨ x-3=0
x=1 ∨ x=-1 ∨ x=3
c) x³+5x²-4x-20 = x²(x+5)-4(x+5)= (x²-4)(x+5) = (x-2)(x+2)(x+5)
x-2=0 ∨ x+2=0 ∨ x+5=0
x=2 ∨ x=-2 ∨ x=-5
d) 9x²-16=0 | :9
x²=16/9 | √
x= -4/3 ∨ x= 4/3
e) x³-5x²+4x = x(x²-5x+4) = x(x-4)(x-1)
x²-5x+4=0 ∨ x=0
Δ=9
√Δ=3
x₁= 4 x₂=1