a) Show that x = 1+2i is a root of p(x) where i = surds(-1). b) By using the fact that p(x) is a polynomial with real coefficients, show by contradiction that  p(x) will have another complex root.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let p(x) = x3 + x + 10

a) Show that x = 1+2i is a root of p(x) where i = surds(-1).

b) By using the fact that p(x) is a polynomial with real coefficients, show by contradiction that  p(x) will have another complex root.

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