This is because when you take a square root you get two solutions a positive and a negative.
The answer is LETTER A
A is correct.
A polynomial function f(x) has root .
3 is a real number.
is an irrational number.
The zeros or root of the function always occurs in conjugate pair.
Conjugate pair: A root has two form one positive and one negative.
For the given function f(x), should be in conjugate pair.
One more possible root would be
Hence, the one root must be negative of root of 7
x^2 + 18x + 74 = (x + 9)^2 - 81 + 74
= (x + 9)^2 - 7.
so q = -7.