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Thread: SAT subject Complex zeroes

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  1. #1
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    SAT subject Complex zeroes

    Complex zeroes Subject test Math level 2
    Which of the following is a factor of given that is a zero of this polynomial?

    (A)
    (B)
    (C)
    (D)
    (E)

    Thanks!

  2. #2
    Complex roots occur in conjugate pairs which means that if a polynomial with real coefficients has a root of the form then is also a root.

    Based on the aforementioned theorem we have that the other root is equal to .

    So, the factor that corresponds to this root is

    Therefore the correct answer is (D).

  3. #3
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    Quote Originally Posted by Oliver View Post
    Complex roots occur in conjugate pairs which means that if a polynomial with real coefficients has a root of the form then is also a root.

    Based on the aforementioned theorem we have that the other root is equal to .

    So, the factor that corresponds to this root is

    Therefore the correct answer is (D).
    thanks!!

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