document.write( "Question 1135762: degree 3 with zeros of -2 and 5+i \n" ); document.write( "

Algebra.Com's Answer #753421 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "degree $\"3\"$ \r
\n" ); document.write( "\n" ); document.write( "zeros of:
\n" ); document.write( " $\"x%5B1%5D=+-2+\"$
\n" ); document.write( " $\"x%5B2%5D=5%2Bi\"$ -> since complex roots come in pairs, you also have $\"x%5B3%5D=5-i\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "use zero product theorem to find $\"f%28x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-%28-2%29%29%28x-%285%2Bi%29%29%28x-%285-i%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%28x-5-i%29%28x-5%2Bi%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%28x%5E2-5x%2Bix-5x%2B25-5i-ix%2B5i-i%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%28x%5E2-10x%2B25-%28-1%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%28x%5E2+-+10+x+%2B+26%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=+x%5E3+-+10+x%5E2+%2B+26x%2B2x%5E2-20x%2B52\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=+x%5E3+-+8x%5E2+%2B+6x%2B52\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );