If P(x) is a polynomial with real coefficients, then the complex roots of P(x)=0 occur in conjugate pairs.
This theorem states that if a + bi is a complex root, then a - bi is also a root. Additionally, recall that if a is a root of P(x)=0, then (x-a) is a factor of P(x).
Let's simplify the polynomial by applying the Distributive Property. For simplicity, we will start by multiplying the first two factors and the last two factors separately.
[x-(17-4i)] * [x-(17+4i)]
[x-(12+5i)] * [x-(12-5i)]
After we find these products, we will multiply the obtained expressions.
