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anonymous
 one year ago
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
1  2i is a zero of f(x) = x4  2x3 + 6x2  2x + 5.
anonymous
 one year ago
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution. 1  2i is a zero of f(x) = x4  2x3 + 6x2  2x + 5.

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Complex zeroes always occur as conjugates so if 1  2i is a zero of the function then so is 1 + 2i

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah i get that but that isnt the answer is it?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1hmm see what you mean 1 + 2i is a zero . I'm not sure exactly what they mean though. Do they want a proof that 1 + 2i is a zero?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not really sure but they said they want a process that i used to find the solution and 1+2i has no process behind it so i though they wanted another zero besides the conjugate

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1well you can find another zero by dividing the function by (x  (1 + 2i)(x  (1  2i)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0see thats what i dont know how to do

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1= (x^2 + 5) use long or synthetic division

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do i do that though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know how to dived with i's in it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i only know know to dive if theres no imaginary munbers

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1no theres no i's its f(x) divided by x^2 + 5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the whole equation divided by x^2+5 and thats it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how am i supposed to do that synthetically?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do i put 5 in the window

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1that will give you a quoitent in x^2 which you might be able to factor of there are 2 real roots As the degree of the function is 4 there are a total of 4 zeroes 2 complex and 2 real or 4 complex.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im just not understanding how to get the 2 real number answers bc i dont know how to divide it

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yea i'm trying to divide it now on paper but i cant get it to divide exactly

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1No it doesnt divide exactly There might be a mistake in the question.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1I'm not very good at synthetic division but that wont work either  if long division hasn't

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i figured it out just now thank you so much i got +/ i and im hoping thats right

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1i think there must be an error somewhere in the question I've drawn the graph on my calculator and it doesn't cut the xaxis so all the zeroes must be complex

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah idk i just kind of did it a different way but thank you for your help i appreciate it

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1ah i see where i went wrong i worked out (x  (1 +2i)(x  (1  2i) incorrectly it comes to x^2  2x + 5 so if we divide that into f(x) we get x^2 + 1 putting x^2 + 1 = 0 x = +/ i that is right
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