SOLUTION: I want to factorise this polynom 3x^3 - 5x^2 -6x + 8 I want to know the method Thank you

Question 537711: I want to factorise this polynom
3x^3 - 5x^2 -6x + 8
I want to know the method
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I want to factorise this polynom
3x^3 - 5x^2 -6x + 8
I want to know the method
------
Notice that the coefficients add up to zero.
That means f(1) = 0
That means x = 1 is a root.
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Now use synthetic division to find the "other" factor:
1)....3....-5....-6....8
.......3.....-2....-8..|..0
---
Quotient: 3x^2-2x-8
Factor:
(3x+4)(x-2) = 0
x = -4/3 or x = 2
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Cheers,
Stan H.
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