document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105095>Question 105095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the following into the product of two binomials. Then, confirm your answer is correct by multiplying the two binomials:\r<BR>\n" );
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document.write( "	25y2 + 20y + 4	<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76467 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y2+%2B+20y+%2B+4 ALIGN=MIDDLE  ALT=\"25y2+%2B+20y+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To factor this, please rad my lesson first! It is entitled:Factoring trinomials: SHORTCUT!!!Factoring trinomials: SHORTCUT!!!<BR>\n" );
document.write( "Then, go back to this page.\r<BR>\n" );
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document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "By the use of the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-20%2B-sqrt%2820%5E2-4%2A25%2A4%29%29%2F%282%2A25%29 ALIGN=MIDDLE  ALT=\"y=%28-20%2B-sqrt%2820%5E2-4%2A25%2A4%29%29%2F%282%2A25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-20%2B-sqrt%28400-400%29%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"y=%28-20%2B-sqrt%28400-400%29%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-20%2B-+0%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"y=%28-20%2B-+0%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-20%2F50 ALIGN=MIDDLE  ALT=\"y=-20%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%2F5 ALIGN=MIDDLE  ALT=\"y=-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%2F5 ALIGN=MIDDLE  ALT=\"y=-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B2=0 ALIGN=MIDDLE  ALT=\"5y%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since one solution is obtained, this polynomial is a perfect square trinomial and thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y2+%2B+20y+%2B+4=%285y%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"25y2+%2B+20y+%2B+4=%285y%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%2B2%29%5E2=%285y%2B2%29%285y%2B2%29 ALIGN=MIDDLE  ALT=\"%285y%2B2%29%5E2=%285y%2B2%29%285y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%2B2%29%5E2=5y%285y%2B2%29%2B2%285y%2B2%29 ALIGN=MIDDLE  ALT=\"%285y%2B2%29%5E2=5y%285y%2B2%29%2B2%285y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%2B2%29%5E2=%2825y%5E2%2B10y%29%2B%2810y%2B4%29 ALIGN=MIDDLE  ALT=\"%285y%2B2%29%5E2=%2825y%5E2%2B10y%29%2B%2810y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%2B2%29%5E2=25y%5E2%2B%2810y%2B10y%29%2B4 ALIGN=MIDDLE  ALT=\"%285y%2B2%29%5E2=25y%5E2%2B%2810y%2B10y%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%2B2%29%5E2=25y%5E2%2B20y%2B4 ALIGN=MIDDLE  ALT=\"%285y%2B2%29%5E2=25y%5E2%2B20y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the solution is correct and my lesson is reliable!\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );