SOLUTION: Given that (x-1) is a factor, factorize 3x³ + 4x² - 13x + 6 completely.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that (x-1) is a factor, factorize 3x³ + 4x² - 13x + 6 completely.       Log On


   

Question 1117196: Given that (x-1) is a factor, factorize 3x³ + 4x² - 13x + 6 completely.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
If x-1 is a factor, then this root should be +1. 
1   |   3   4   -13    6
    |
    |       3    7    -6
    |_________________________
       3    7    -6    0

Next, try to factorize 3x%5E2%2B7x-6.

%283x-2%29%28x%2B3%29

The complete factorization of 3x%5E3%2B4x%5E2-13x%2B6 is %28x-1%29%28x%2B3%29%283x-2%29.