document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044942>Question 1044942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem!  Thank you!\r<BR>\n" );
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document.write( "Find the following f(x)=(x+5)^2(x-2)^2\r<BR>\n" );
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document.write( "&#8203;(a) Find the&#8203; x- and&#8203; y-intercepts of the polynomial function f.\r<BR>\n" );
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document.write( "&#8203;(b) Determine whether the graph of f crosses or touches the&#8203; x-axis at each&#8203; x-intercept.\r<BR>\n" );
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document.write( "&#8203;(c) Put all the information together to obtain the graph of f. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660366 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = (x+5)^2  * (x-2)^2<BR>\n" );
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document.write( "when x = 0, f(x) is the y intercept<BR>\n" );
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document.write( "f(x) = 5^2 * (-2)^2 = 100<BR>\n" );
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document.write( "when f(x) = 0 we have an x intercept<BR>\n" );
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document.write( "we have 2 x-intercepts, x = -5, x = 2<BR>\n" );
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document.write( "here is the graph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-8%2C+5%2C+0%2C+400%2C+%28x%2B5%29%5E2++%2A+%28x-2%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-8%2C+5%2C+0%2C+400%2C+%28x%2B5%29%5E2++%2A+%28x-2%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a) y intercept is 100, x intercepts are -5 and 2<BR>\n" );
document.write( "b) f(x) touches the x axis at (-5,0) and (2,0) since f(x) is always > or = 0<BR>\n" );
document.write( "c) see graph above<BR>\n" );
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