factor: x^3-x^2+x-6?

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factor: x^3-x^2+x-6?

2007-08-30 03:49:45 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

f ( 2 ) = 8 - 4 + 2 - 6 = 0
Thus x - 2 is a factor.
Other factors are obtained by synthetic division:-
"""""|1"""""-1"""" 1"""" -6
"""2| """"""2""""" 2"""" 6
"""""|1"""""1""""" 3"""" 0
Factors are:-
( x - 2 ) ( x ² + x + 3 )

2007-09-03 02:22:48 · answer #1 · answered by Como 7 · 0⤊ 0⤋

(x-2)*(x^2+x+3)

2007-08-30 11:02:50 · answer #2 · answered by ? 5 · 0⤊ 0⤋

x^3 - x^2 + x - 6
= (x^3 + x^2 + 3x) - (2x^2 + 2x + 6)
= x(x^2 + x + 3) - 2(x^2 + x + 3)
= (x-2)(x^2 + x + 3)

2007-08-30 11:02:13 · answer #3 · answered by Anonymous · 0⤊ 0⤋