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

Question

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)

Answer 1

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

b. y = x^2 + 16

Answer 2

Thank you!