SOLUTION: Given that 3 is a zero of f(x)= x^3-7x^2+17x-15, find the other zeros using synthetic division. Simplify answers so that they are exact.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that 3 is a zero of f(x)= x^3-7x^2+17x-15, find the other zeros using synthetic division. Simplify answers so that they are exact.      Log On


   

Question 1002232: Given that 3 is a zero of f(x)= x^3-7x^2+17x-15, find the other zeros using synthetic division. Simplify answers so that they are exact.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

3   |    1    -7    17    -15
    |          3    -12    15
    ____________________________
         1    -4    5      0

Quotient is the quadratic factor x%5E2-4x%2B5, which factorizes to become %28x%2B1%29%28x-5%29.

Complete factorization of the function is f%28x%29=%28x-3%29%28x%2B1%29%28x-5%29.

The two other roots are -1, and +5.