Suppose a + ib is a root of p() (so p(a + ib) = 0). Show

Chapter , Problem 9

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Suppose a + ib is a root of p() (so p(a + ib) = 0). Show that a ib is also a root. [Hint: Remember that a complex number is zero if and only if both its real and imaginary parts are zero. Then compute p(a + ib) and p(a ib).]

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