document.write( "Question 761869: Find x and y intercepts of f \r
\n" ); document.write( "\n" ); document.write( "F(x) = -x^2(x+4)(x^2+1) \n" ); document.write( "

Algebra.Com's Answer #463527 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=-x%5E2%28x%2B4%29%28x%5E2%2B1%29\"$ .......use zero product rule to find $\"x-intercepts\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0=-x%5E2%28x%2B4%29%28x%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"0=-x%5E2\"$ => $\"highlight%28x=0%29\"$ ...real solution
\n" ); document.write( "if $\"0=x%2B4\"$ => $\"highlight%28x=-4%29\"$ ...real solution\r
\n" ); document.write( "\n" ); document.write( " $\"0=x%5E2%2B1\"$ => $\"x%5E2=-1\"$ => $\"x=sqrt%28-1%29\"$ => $\"highlight%28x=i%29\"$ or $\"highlight%28x=-i%29\"$ ...complex solutions\r
\n" ); document.write( "\n" ); document.write( " $\"x-intercepts\"$ are at ( $\"0\"$ , $\"0\"$ ) and ( $\"-4\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-x%5E2%28x%2B4%29%28x%5E2%2B1%29\"$ .....set $\"x=0\"$ to find $\"y-intercept\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-0%5E2%280%2B4%29%280%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-0%284%29%281%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=highlight%28y=0%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y-intercept\"$ is at ( $\"0\"$ , $\"0\"$ )\r
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