Thanks!
That's just what I needed.
Cam someboy please help me out with this? I've done a part of it so far. This is the question:
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Given the polynomial has real coefficients.
IF we know has a complex zero (k being an integer), use this to find an expression for a real quadratic factor of .
Hence, find all the possible values for for which the quadratic is a factor of
Now, this is what I have done so far:
If is a zero, then is also a zero (conjugates).
From this, I used the sum and product rules:
SUM :
PRODUCT :
This gives
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What do I do with this? Now that I have a quadratic factor, I'm supposed to find the possible values of k. I was thinking maybe and that's the answer but I'm not sure (square rooting negative number gives an imaginary solution)
Can someone check it for me?
Thanks. All help is appreciated.
[this post should be #2, I've deleted it for no reason]
Hello,
There is a typo (?) here : the product is .
It seems good to me .What do I do with this? Now that I have a quadratic factor, I'm supposed to find the possible values of k. I was thinking maybe and that's the answer but I'm not sure (square rooting negative number gives an imaginary solution)