Writing Polynomial Equations given the Zeros of the Functions

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p. 356#13,14
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You should seriously be my teacher >..> Just saying, but thanks! 

Stars
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Imaginary roots come in pairs so 4 - i would also be a zero. Let x = 4 + the factor is (x - 4 - i). Do the same with the 4 - i and then multiply these two factors out. The i's will cancel out in the distribution process. Hope this helps.

MrsKKitchen
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wow this was so helpful thank you very much!

kingkia
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Thank you so much, I forgot about the irrational conjugates theorem and this really helped me!

Lindz
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what if im asked to write the polynomial function, given the zeros, in standard form AND with a leading coefficient of 2?

ZTSIR
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are you using a leading coefficeant of 1

xyouarebeautyx