If the polynomial has integer coefficients, then any complex roots with non-zero imaginary part must occur along with their conjugates. If a + bi is a root, then so is a - bi.
The given polynomial would then have at least 6 roots: โ2, 2, โ2 + i and โ2 - i, and 2 + 2i and 2 - 2i. So the minimum degree is (A) 6.
B
Step-by-step explanation: