THETA DIVISION

Question 83

Polynomials★★★Question Bank

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Question

Find the quadratic function

f(x)

which has a zero of

x=-5+2i\sqrt3

in the form

f(x)=ax^2+bx+c

where

a,b,

and

c

are pairwise relatively prime integers and

a>0

. What is

a+b+c

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