document.write( "Question 1028749: Construct a fifth degree polynomial p(x) with real coefficients so that the numbers
\n" ); document.write( "-1, 5 and 3 + i are all roots of p(x). \n" ); document.write( "

Algebra.Com's Answer #643832 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You don't provide enough information to solve.
\n" ); document.write( "You need 5 roots.
\n" ); document.write( "You provided 4 roots (complex conjugate is also a root since coefficients are real).
\n" ); document.write( "You could have multiplicity of 2 for the real roots so there may be two possible solutions,
\n" ); document.write( " $\"f%28x%29=%28x%2B1%29%5E2%28x-5%29%28x-%283%2Bi%29%29%28x-%283-i%29%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%2B1%29%5E2%28x-5%29%5E2%28x-%283%2Bi%29%29%28x-%283-i%29%29\"$
\n" ); document.write( "But I don't think that's the solution you're looking for.
\n" ); document.write( "Please repost with additional information. \n" ); document.write( "

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