document.write( "Question 549764: I am having trouble can you help\r
\n" ); document.write( "\n" ); document.write( "Find a polynomial of degree 3 with roots 5, -2+4i\r
\n" ); document.write( "\n" ); document.write( "Find a polynomial of degree 4 with roots 3-2i, 2+i\r
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\n" ); document.write( "\n" ); document.write( "thanks so much for your help
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Algebra.Com's Answer #358034 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "You are only supposed to put one problem per post. So what I will do is tell you how to solve all problems of this type instead of solving these specific ones.\r
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\n" ); document.write( "\n" ); document.write( "First: A polynomial function of degree ALWAYS has roots.\r
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\n" ); document.write( "\n" ); document.write( "Second: Irrational and complex roots ALWAYS come in conjugate pairs. That is, if where , , and are real numbers, \ 0\">, and is not a perfect square, then is also a root. Also, if is a root, then is also a root.\r
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\n" ); document.write( "\n" ); document.write( "Third: If is a root, then is a factor of the polynomial. So if the roots of an degree polynomial are the set , then the completely factored polynomial is given by:\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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