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  3. 3 a let px be a real polynomial of degree...

Question: 3 a let px be a real polynomial of degree...

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3. (a) Let p(x) be a real polynomial of degree 5 which factors over C as p(x)( 2 +3i) (+bz2 c +d). How many real roots must p have? Explain your answer (b) Find the real polynomial of the form s() 2r3 +az2 +bx c which has i and 7 among its roots. (c) Given that 1 + 2i is a root of q(x)3r2 -5 25, fully factor q over C.

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