document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233238>Question 233238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me : \r<BR>\n" );
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document.write( "given that for all values x:<BR>\n" );
document.write( "3x²+12x+5= p(x+q)²+r<BR>\n" );
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document.write( "a) find the values of p,q and r  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172169 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=172169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given that for all values x:<BR>\n" );
document.write( "3x²+12x+5= p(x+q)²+r\r<BR>\n" );
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document.write( "a) find the values of p,q and r <BR>\n" );
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document.write( "If it is true for all values of x the left side must be identical <BR>\n" );
document.write( "to the right side.<BR>\n" );
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document.write( "3x^2 + 12x + 5 = px^2 + 2pqx + pq^2+r<BR>\n" );
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document.write( "Equate the coefficients of corresponding terms.<BR>\n" );
document.write( "p must equal 3<BR>\n" );
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document.write( "12 must equal 2pq<BR>\n" );
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document.write( "5 must equal pq^2+r<BR>\n" );
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document.write( "Solve for p,q,r<BR>\n" );
document.write( "p = 3<BR>\n" );
document.write( "2pq = 12; so 2*3q=12; so q = 2<BR>\n" );
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document.write( "pq^2+r = 5 ;so 3*2^2+r = 5 ; so r = -7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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