Algebra

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Difficult

y-int of Unknown Polynomial

ALGEBR-GYXBKU

A fourth-degree​ polynomial has gone through several transformations, such as a vertical compression by a scale factor of $\frac{1}{3}$ and a reflection across the $x$-axis. Two of the zeros of this polynomial are $-i$ and $3i$. Find a $y$-intercept of this polynomial, if it exists.

A

$(0 , \frac{1}{3})$

B

$(0 , 3)$

C

$(0 , -3)$

D

$(0 ,- \frac{1}{3})$