document.write( "Question 1153992: Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots 5-3i \n" ); document.write( "

Algebra.Com's Answer #776337 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=0\"$ has the given roots $\"5-3i\"$ => complex roots always come in pairs, so you also have $\"5%2B3i\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=%28x-%285-3i%29%29%28x-%285%2B3i%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=%28x-5%2B3i%29%28x-5-3i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=x%5E2+-+10x+%2B+34\"$ \n" ); document.write( "

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