document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873564>Question 873564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> got stuck with this one please help\r<BR>\n" );
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document.write( "find the value of A,B and C that ensure the two polynomials y1(x)=-4x^2+9x-10 and y2(x)=A(x+10)+B(x-5)+C(x^2-4x-9) are equal for all values of x.\r<BR>\n" );
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document.write( "thanks so much for your help in advance<BR>\n" );
document.write( "Matt </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526943 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=526943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify y2 equation and put into general form, decreasing powers of x; and then equate corresponding coefficients.  You will have three equations in the unknowns, A, B, and C.<BR>\n" );
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document.write( "Skipping the steps here, but done separately on paper, the y2 expression becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cx%5E2%2BAx%2BBx-4Cx%2B10A-5B-9C ALIGN=MIDDLE  ALT=\"Cx%5E2%2BAx%2BBx-4Cx%2B10A-5B-9C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Are you still stuck?<BR>\n" );
document.write( "\"yes\".\r<BR>\n" );
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document.write( "Simplifying the y2 equation's right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2B10A%2BBx-5B%2BCx%5E2-4Cx-9C ALIGN=MIDDLE  ALT=\"Ax%2B10A%2BBx-5B%2BCx%5E2-4Cx-9C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cx%5E2%2BAx%2BBx-4Cx%2B10A-5B-9C ALIGN=MIDDLE  ALT=\"Cx%5E2%2BAx%2BBx-4Cx%2B10A-5B-9C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Cx%5E2%2B%28A%2BB-4C%29x%2B%2810A-5B-9C%29 ALIGN=MIDDLE  ALT=\"Cx%5E2%2B%28A%2BB-4C%29x%2B%2810A-5B-9C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now as given y1 equation to be equal to y2 eqation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2%2B9x-10=Cx%5E2%2B%28A%2BB-4C%29x%2B%2810A-5B-9C%29 ALIGN=MIDDLE  ALT=\"-4x%5E2%2B9x-10=Cx%5E2%2B%28A%2BB-4C%29x%2B%2810A-5B-9C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The coefficients in corresponding positions are equal.  This gives a system,<BR>\n" );
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document.write( "-4=C<BR>\n" );
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document.write( "9=A+B-4C<BR>\n" );
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document.write( "-10=10A-5B-9C\r<BR>\n" );
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document.write( "Solve that system for A, B, and C. </SPAN>\n" );
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