document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137421>Question 137421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following by factoring:\r<BR>\n" );
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document.write( "5t squared - 10t = 0\r<BR>\n" );
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document.write( "x squared - 3x - 10 = 0\r<BR>\n" );
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document.write( "if f(x) = 3x squared + 5x -2 find\r<BR>\n" );
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document.write( "f(-2)\r<BR>\n" );
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document.write( "f(4)\r<BR>\n" );
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document.write( "solve \r<BR>\n" );
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document.write( "3x squared  + 19x - 14 = 0 using quadratic formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100545 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=100545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring:<BR>\n" );
document.write( "1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t%5E2-10t+=+0 ALIGN=MIDDLE  ALT=\"5t%5E2-10t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out 5t from each term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t%28t-2%29+=+0 ALIGN=MIDDLE  ALT=\"5t%28t-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now apply the zero products rule;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t+=+0 ALIGN=MIDDLE  ALT=\"5t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-2+=+0 ALIGN=MIDDLE  ALT=\"t-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t+=+0 ALIGN=MIDDLE  ALT=\"5t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-2+=+0 ALIGN=MIDDLE  ALT=\"t-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2 ALIGN=MIDDLE  ALT=\"t+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x-10+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-3x-10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the trinomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x-5%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x-5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5+=+0 ALIGN=MIDDLE  ALT=\"x-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5+=+0 ALIGN=MIDDLE  ALT=\"x-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E2%2B5x-2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E2%2B5x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > find: f(-2). Just substitute -2 everywhere there is an x in the function.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29+=+3%28-2%29%5E2%2B5%28-2%29-2 ALIGN=MIDDLE  ALT=\"f%28-2%29+=+3%28-2%29%5E2%2B5%28-2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29+=+3%284%29%2B%28-10%29-2 ALIGN=MIDDLE  ALT=\"f%28-2%29+=+3%284%29%2B%28-10%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29+=+12-10-2 ALIGN=MIDDLE  ALT=\"f%28-2%29+=+12-10-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29+=+0 ALIGN=MIDDLE  ALT=\"f%28-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find: f(4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29+=+3%284%29%5E2%2B5%284%29-2 ALIGN=MIDDLE  ALT=\"f%284%29+=+3%284%29%5E2%2B5%284%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29+=+3%2816%29%2B20-2 ALIGN=MIDDLE  ALT=\"f%284%29+=+3%2816%29%2B20-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29+=+48%2B20-2 ALIGN=MIDDLE  ALT=\"f%284%29+=+48%2B20-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29+=+66 ALIGN=MIDDLE  ALT=\"f%284%29+=+66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) Solve for x using the quadratic formula:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B19x-14+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B19x-14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here, a = 3, b = 19, and c = -14. Making the appropriate substitutions, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-19%2B-sqrt%28%2819%29%5E2-4%283%29%28-14%29%29%29%2F2%283%29 ALIGN=MIDDLE  ALT=\"x+=+%28-19%2B-sqrt%28%2819%29%5E2-4%283%29%28-14%29%29%29%2F2%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-19%2B-sqrt%28361-%28-168%29%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-19%2B-sqrt%28361-%28-168%29%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-19%2B-sqrt%28529%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-19%2B-sqrt%28529%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-19%2B23%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-19%2B23%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-19-23%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%28-19-23%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F3 ALIGN=MIDDLE  ALT=\"x+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-7 ALIGN=MIDDLE  ALT=\"x+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );