A polynomial function P (x) with rational coefficients has the given roots find two additional roots of P (x) = 0 i and 7+8i

Question

Allyson Browning

Mathematics

24 February, 17:44

A polynomial function P (x) with rational coefficients has the given roots find two additional roots of P (x) = 0 i and 7+8i

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Katie Sanders · Answer 1

Note that if a + bi is a root of P (x) = 0, then a - bi is also a root of P (x) = 0.

In this case, i and 7 + 8i are two roots of P (x) = 0. So - i and 7 - 8i are two additional roots of P (x) = 0.