SOLUTION: given the polynomial p(x) = x^4-2x^3-7x^2+18-18
If one zero of P is 1-i, find the remaining zeros of P.
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Question 1165191: given the polynomial p(x) = x^4-2x^3-7x^2+18-18
If one zero of P is 1-i, find the remaining zeros of P.
Answer by Seutip(231) (Show Source): You can put this solution on YOUR website!
To find zeroes we should equate P(x) to 0
Then factor out
you can also factor out (x^3+x^2-4x+6) giving us
I hope you know how to factor out easily,
but using foil method you will get
When you multiply the factors with each other, there is nothing left to
factor out so our final equation now is:
It will give us 3 sub-equations
and
One root is x=3
The other root is x=-3
and using quadratic formula gives you
Hope that helps!!!!
Thank you and God bless!
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