# SOLUTION: Decide whether the given x-value is a zero of the function f(x)=x^3-4x^2+16x-64, x=4i

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Decide whether the given x-value is a zero of the function f(x)=x^3-4x^2+16x-64, x=4i      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

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 380109: Decide whether the given x-value is a zero of the function f(x)=x^3-4x^2+16x-64, x=4iAnswer by kingme18(98)   (Show Source): You can put this solution on YOUR website!If a number is a function's zero, that means that if you plug the number in, the result will be zero. For this function, we'll have to plug in 4i for all of the x'es and see if our result is 0. Recall that , , and Note that like terms do, in fact, cancel: -64i+64i=0 and 64-64=0 Yes, 4i is a zero!