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 − 3, f(x) = x^3 − 5x^2 − 29x + 105 Please he

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 − 3, f(x) = x^3 − 5x^2 − 29x + 105 Please he      Log On


   



Question 1023685: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x).
g(x) = x − 3, f(x) = x^3 − 5x^2 − 29x + 105
Please help me solve. Thank you

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29+=+x+-3, f%28x%29+=+x%5E3+-5x%5E2+-29x+%2B+105
First, write the coefficients ONLY inside an upside-down division symbol:
|1... +-5 ... -29... +105
|
Put the test zero, x+=+3, at the left,multiply this carry-down value by the test zero, and carry the result up into the next column,add down the column:
3|1... -5...... +-29..... +105
...|...........3......-6..........-105
---------------------------------
...|1......-2....-35.........0

%28x%5E3-5x%5E2+-29x+%2B+105%29%2F%28x-3%29=x%5E2-2x-35