SOLUTION: This is is from a quiz on factoring the polynominal completely, given that (x-1) is a factor. (Hint: Use long division to divide out the x-1) x^3-6x^2+11x-6 Thank you

Question 154469: This is is from a quiz on factoring the polynominal completely, given that (x-1) is a factor. (Hint: Use long division to divide out the x-1)
x^3-6x^2+11x-6
Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
This is is from a quiz on factoring the polynominal completely, given that (x-1) is a factor.
x^3-6x^2+11x-6
------------------------
After dividing by (x-1), we have
x^2 -5x +6
Assuming the coefficients are integers (they almost always are in school), the possibilities for the multiplier for the x terms are 1. The Numeric Terms can be 1 & 6 or 2 & 3. Since the 6 is positive, the 2 NT's have the same sign. Since the x term is -5, they NTs must be negative. That makes it
(x-2)*(x-3)

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