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

Question 380109: Decide whether the given x-value is a zero of the function
f(x)=x^3-4x^2+16x-64, x=4i
Answer 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!
RELATED QUESTIONS
Use synthetic division to decide whether the given number is a zero of the given... (answered by Nate)

can someone help me with this....Use the given zero to find the remaining zeros of the... (answered by greenestamps)

How do I determine the end behavior of the graph of the function? f(x)=-3x^6+2x^4+4x^3-2 (answered by ewatrrr)

How do you use the intermediate value theorem to show the polynomial function that has a... (answered by tommyt3rd)

Question is: Use the intermediate value theorem to show that the polynomial function... (answered by Fombitz)

5.Determine without graphing whether the given quadratic function has a maximum value or... (answered by lwsshak3)

I need to determine if the given x-value is a zero of the function - show work... (answered by Nate)

f(x)=x^3+3x^2-5x^+8 x=4 Could you please help with this problem. The question is to... (answered by solver91311)

Using the given zero, find all other zeros of f(x). 2-6i is a zero of... (answered by josgarithmetic)