document.write( "Question 458644: Find the zeros of the polynomial function: P(x) = (x2 + 9)(x + 3) \n" ); document.write( "

Algebra.Com's Answer #314598 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"P%28x%29+=+%28x%5E2+%2B+9%29%28x+%2B+3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29+=+%28x%5E2+%2B+3%5E2%29%28x+%2B+3%29\"$ ..........\r
\n" ); document.write( "\n" ); document.write( "we can factor $\"x%5E2%2B3%5E2\"$ like this:\r
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...substitute\r
\n" ); document.write( "\n" ); document.write( " $\"P%28x%29+=+%28x-3i%29+%28x%2B3i%29%28x+%2B+3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, solutions are:\r
\n" ); document.write( "\n" ); document.write( " $\"x-3i=0\"$ ....->..... $\"x=3i\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B3i=0\"$ ....->..... $\"x=-3i\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B3=0\"$ ....->..... $\"x=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "here is a graph for $\"P%28x%29+=+%28x%5E2+%2B+9%29%28x+%2B+3%29=x%5E3%2B3x%5E2%2B9x%2B27\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-50%2C+60%2C+-50%2C+60%2C+x%5E3%2B3x%5E2%2B9x%2B27%29+\"$
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