document.write( "Question 1191678: Write a polynomial function with integral coefficients that has -2 and 3i as roots. Graph your function. \n" ); document.write( "

Algebra.Com's Answer #823471 by MathLover1(20850) $\"\"$ $\"About$

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given $\"-2\"$ and $\"3i+\"$ as roots\r
\n" ); document.write( "\n" ); document.write( "=> $\"-3i+\"$ is aso a root (This comes with conjugate pairs)\r
\n" ); document.write( "\n" ); document.write( " the factors are:
\n" ); document.write( " $\"%28x-%28-2%29%29=x%2B2\"$
\n" ); document.write( " $\"x-3i+\"$
\n" ); document.write( " $\"x-%283i+%29=x%2B3i\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%28x-3i%29%28x%2B3i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E3+%2B+2x%5E2+%2B+9x+%2B+18\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-50%2C+50%2C+x%5E3+%2B+2x%5E2+%2B+9x+%2B+18%29+\"$ \r
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