A student claims that -9i is the only imaginary root of a quadratic polynomial equation that has real coefficients.

a. What is the mistake in the student's claim? (If there is another solution, what is it. If there is another solution, what is used to support your claim.)

b. Write one possible factored polynomial that has the correct roots from part a by filling in the missing parts to the polynomial below.
P(x) = (x __)(x__)

c. Write the factored polynomial form part a and b in standard form.

Please show your steps, I'll give Brainliest to the best answer. Thanks so much everyone <3