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Question

1. Find all complex zeros of f(x)= x^4-8x^3+26x^2-32x+13, given that you know one of the zeros is 3+2i. Use the zeros to write the function in factored form. 

2. Identify any asymptote(s) and find the location of any hole(s) of the function. If they do not exist, write NONE and write any asymptotes as equations of lines. 

R(x)=2x^3+8x^2+6x/x^2+5x+6

Answer 1

3 + 2i is a zero implies 3 - 2i is a zero

(x - (3 + 2i)) and (x - (3 - 2i)) are factors

x² + 11 is a factor

Now divide to determine other two factors/zeros