doprowadz do najprostszej postaci x³-21x²+126x-216
(x³-21x²+126x-216):(x-6)=x²-15x+36
-x³+6x²
............
=== -15x²+126x-216
+15x -90x
.......................
= 36x-216
-36x+216
.............................
============
x³-21x²+126x-216=(x²-15x+36)(x-6)=*(x-6)(x-3)(x-12), bo:
Δ=b²-4ac=225-144=81
√Δ=9
x₁=[-b-√Δ]/2a=[15-9]/2=3
x₂=[-b+√Δ]/2a=[15+9]/2=12
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(x³-21x²+126x-216):(x-6)=x²-15x+36
-x³+6x²
............
=== -15x²+126x-216
+15x -90x
.......................
= 36x-216
-36x+216
.............................
============
x³-21x²+126x-216=(x²-15x+36)(x-6)=*(x-6)(x-3)(x-12), bo:
Δ=b²-4ac=225-144=81
√Δ=9
x₁=[-b-√Δ]/2a=[15-9]/2=3
x₂=[-b+√Δ]/2a=[15+9]/2=12