document.write( "Question 351563: f(x)= -2x(x-5)(x+1)(x-2)^2\r
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Algebra.Com's Answer #251192 by Fombitz(32388) $\"\"$ $\"About$

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To find the x-intercept, set y=0 and solve for x.
\n" ); document.write( "f(x)=0
\n" ); document.write( "By the zero product property, there are 3 x-intercepts.
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\n" ); document.write( " $\"x-5=0\"$
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\n" ); document.write( " $\"x-2=0\"$
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\n" ); document.write( "To find the y-intercept, set x=0 and solve for y.
\n" ); document.write( " $\"f%280%29=+-2%280%29%280-5%29%280%2B1%29%28x-2%29%5E2\"$
\n" ); document.write( " $\"highlight_green%28f%280%29=0%29\"$
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\n" ); document.write( "f(x)= -2x(x-5)(x+1)(x-2)^2
\n" ); document.write( "When x has a very large positive value,
\n" ); document.write( "f(x)=-(+)(+)(+)(+)^2=-
\n" ); document.write( "Then f(x) has a very large negative value.
\n" ); document.write( " $\"lim%28x-%3Einfinity%2C+f%28x%29=-infinity%29\"$
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\n" ); document.write( "When x has a very large negative value,
\n" ); document.write( "f(x)=-(-)(-)(-)(-)^2=+
\n" ); document.write( "Then f(x) has a very large positive value.
\n" ); document.write( " $\"lim%28x-%3E-infinity%2C+f%28x%29=infinity%29\"$
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