SAT subject Complex zeroes

[elizabeth]

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!

[Oliver]

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).

[elizabeth]

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!!