Suppose p(x) is a monic cubic polynomial with real coefficients such that p(2 - 3i) = 8 and p(0) = -5 and p(4 + 7i) = 11.
Determine p(x) (in expanded form).
The cubic polynomial is
p(x)=x3−5713x2+18913x−5
𝑝(𝑥)=𝑥3−5713𝑥2+18913𝑥−5