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anonymous
 one year ago
If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
–3 – i
–3i
3 – i
3i
anonymous
 one year ago
If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was thinking A or C because wouldnt the opposite also be a root

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes :) Very good! Complex roots always come in `conjugate pairs`. The conjugate is when you switch only the sign on the `complex number`.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Example: The conjugate of \(\large\rm 2+i\) will be \(\large\rm 2i\) Again, I only switch the sign of the imaginary part. Not complex part, i dunno why I said that the first time :) lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So which one are you leaning towards? A or C? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now that I take a second look, Im thinking C? Because the + becomes  and the 3 is just 3

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Wooooops! Remember what I was saying, you only switch the sign of the `imaginary component`. –3 + i So the \(\large\rm i\) becomes \(\large\rm i\) nothing else should change though.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh! So A! That makes sense.
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