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Use the given zero to find all the zeros of the function


Given zero: 3i


(The i is imaginary)


Function: f(x)=x³+x²+9x+9


Please explain I do not understand

Verified Answer :

MathisLif3

i=sqrt (-1)
You are dealing with fields
in Mathematics, roots of polynomials are all nested in the complex field
x^2+1=0, no solution in Q [x], R [x], but there is in C [x]
namely i
you need Factor theorem P (x)=(x-a)*q (x)
therefore perform long division with x-3i into f (x)

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