SOLUTION: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x). g(x) = x − 1, f(x) = x3 − 6x2 − 9x + 14 Please help me

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x). g(x) = x − 1, f(x) = x3 − 6x2 − 9x + 14 Please help me       Log On


   

Question 1031517: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x).
g(x) = x − 1, f(x) = x3 − 6x2 − 9x + 14
Please help me solve. Thank you.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
1    |    1    -6    -9    14
     |
     |         1     -5    -14
     |_____________________________________
         1    -5     -14    0
and notice the remainder is 0.


No need to use synthetic division again unless you really want; because you can factorize x%5E2-5x-14 just looking for the combination that works.

f%28x%29=x%5E2-5x-14=highlight%28%28x%2B2%29%28x-7%29%29.