3 years ago

All factors of x cubed minus 6x squared plus 11x minus 6

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

Answer:

Step-by-step explanation:

x³-6x²+11x-6

put x=1

1³-6×1²+11×1-6=1-6=11-6=0

by synthetic division

1| 1 -6 11 -6

| 1 -5 6

|----------------

| 1 -5 6 |0

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3(x-2)=0

(x-2)(x-3)=0

x=1

x-1=0

so x³-6x²+11x-6=(x-1)(x-2)(x-3)

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