# SOLUTION: Can you help me please Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero thank you

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Can you help me please Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero thank you      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 61722: Can you help me please Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero thank youAnswer by stanbon(57246)   (Show Source): You can put this solution on YOUR website!Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero If 3+4i is a zero so is 3-4i. Then (x-3+4i)(x-3+4i) divides f(x) Simplify: [(x-3)^2+16] divides f(x) [x^2-6x+25] divides f(x) Divide f(x) by x^2-6x+25 to find the remaining factor which is x+2. ----------- So the three zeroes are 3+4i, 3-4i, and x= -2 Cheers, Stan H.