X cube minus 2 X square + 5 x Dived3x
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Answer:
Let x-1 be a factor of x3-2x2-5x+6
putting x= 1
x(1) = (1)³ - 2(1)² - 5(1) + 6
x(1) = 1 - 2 -5 +6
x(1)= 7 - 7
x(1) = 0
Now x3-2x2-5x+6 divided by (x - 1)
It gives you x² - x - 6
Now, x² - x - 6 (x-1)
= x² + 2x - 3x - 6 (x-1)
= x ( x+2) -3 (x+2) (x-1)
= (x-3) (x+2) (x-1)
Step-by-step explanation:
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