Algebra

A student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients.

a. What is the student’s mistake? (2 points)
b. Write one possible polynomial that has the correct roots from part a in standard form. (3 points)

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  1. a. complex (imaginary) roots occur in pairs
    ... if -4i is a root , then 4i is also

    b. y = x^2 + 16

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  2. Thank you!

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