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Polynomial Function - Problem 10

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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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