document.write( "Question 962604: Finding polynomial having degree and zeros:
\n" ); document.write( "Degree: 5 Zeros: 7, -i, -6+i \n" ); document.write( "

Algebra.Com's Answer #588152 by MathLover1(20850) $\"\"$ $\"About$

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Zeros: $\"7\"$ , $\"-i\"$ , $\"-6%2Bi\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"-i\"$ is zero, then $\"i\"$ is zero too
\n" ); document.write( "if $\"-6%2Bi\"$ is zero, then $\"-6-i\"$ is zero too\r
\n" ); document.write( "\n" ); document.write( "so, your polynomial is:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29%28x-x%5B5%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-7%29%28x-i%29%28x%2Bi%29%28x-%28-6%2Bi%29%29%28x-%28-6-i%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-7%29%28x%5E2-i%5E2%29%28x%2B6-i%29%28x%2B6%2Bi%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-7%29%28x%5E2-i%5E2%29%28x%5E2%2B6x%2Bx%2Ai%2B6x%2B36%2B6i-x%2Ai-6i-i%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-7%29%28x%5E2%2B1%29%28x%5E2%2B12x%2B37%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E3-7x%5E2%2Bx-7%29%28x%5E2%2B12x%2B37%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E3-7x%5E2%2Bx-7%29%28x%5E2%2B12x%2B37%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E5%2B5x%5E4-46x%5E3-254x%5E2-47x-259\"$ \r
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