SOLUTION: Factor the following polynomial. Reduce any fractions. X^3-2x^2-5x+6

Question 1107022: Factor the following polynomial. Reduce any fractions.
X^3-2x^2-5x+6
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Factor the following polynomial. Reduce any fractions.
X^3-2x^2-5x+6
===============
What would you learn from me doing it?

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
x^3 - 2x^2 - 5x + 6 = x^3 - 3x^2 + x^2 - 5x + 6 = (x^3-3x^2) + (x^2 - 5x + 6) = x^2*(x-3) + (x-2)*(x-3) = (x-3)*(x^2 + (x-2)) =

= (x-3)*(x^2+x-2) = (x-3)*(x+2)*(x-1).

Solved.

RELATED QUESTIONS
Factor the following polynomial. Reduce any fractions. x3−2x2−5x+6 (answered by Alan3354)
Factor each polynomial completely given that the binomial following it is a factor of the (answered by tutorcecilia)
Factor the polynomial completely, given that hte binomial following it is a factorof the... (answered by jim_thompson5910)
factor the following polynomial:... (answered by Boreal,Fombitz,MathLover1,MathTherapy)
Factor each polynomial completely, given that the binomial following it is a factor of... (answered by solver91311,vleith)
factor the polynomial.... (answered by solver91311)
A) Factor each polynomial completely, given that the binomial following it is a factor of (answered by stanbon)
The question is: Show that {{{(2x+1)}}} is a factor of the polynomial {{{... (answered by AnlytcPhil)
Multiply the following fractions. Reduce your answer to lowest terms. 3/4 x 2/3 (answered by Fombitz)