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calculus--please help!!

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I have two questions that I don't understand and need help with.

1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f.

degree 4, zeros i;9+i

2. form a polynomial f(x) with real coefficients having the given degree and zeros.

degree 4, zeros 3, multiplicity 2; 6i

f(x)=a(?)

  • calculus--please help!! - ,

    1.
    Need four zeros but every complex root comes with its complex conjugate
    i so also -i
    9+i so also 9-i

    (x-3)(x-3)(x- 6i)(x+6i)
    multiply that out

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