If a + bi is a zero of a polynomial, then a - bi (its conjugate) is a zero, as well. This sounds like we're adding more and more imaginary complications, but in fact, this is good news: if multiplied correctly, the imaginary terms will always cancel out. Write the polynomial in factored form (assuming the leading coefficient iz one) with (x - zero) for each given zero. Expand to find standard form- if done correctly, the imaginary terms should cancel out.
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