document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823795>Question 823795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (x-2) is one factor of the polynomials x²+ax-6 and x²-9x+b, then a+b is equal to........<BR>\n" );
document.write( "a) 15<BR>\n" );
document.write( "b) 13<BR>\n" );
document.write( "c) 11<BR>\n" );
document.write( "d) 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495799 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "(x - 2) is common factor<BR>\n" );
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document.write( "x^2 + ax - 6 = (x - 2)(x + K)<BR>\n" );
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document.write( "(x - 2)(x + K)<BR>\n" );
document.write( "x^2 + Kx - 2x - 2K<BR>\n" );
document.write( "x^2 + (K - 2)x - 2K<BR>\n" );
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document.write( "-2K = -6<BR>\n" );
document.write( "K = 3<BR>\n" );
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document.write( "K - 2 = a<BR>\n" );
document.write( "3 - 2 = a<BR>\n" );
document.write( "a = 1<BR>\n" );
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document.write( "x^2 + x - 6 = (x - 2)(x + 3)<BR>\n" );
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document.write( "second factor of x^2 + ax - 6 is (x + 3)<BR>\n" );
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document.write( "x^2 - 9x + b = (x - 2)(x + K)<BR>\n" );
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document.write( "(x - 2)(x + K)<BR>\n" );
document.write( "x^2 + Kx - 2x - 2K<BR>\n" );
document.write( "x^2 + (K - 2)x - 2K<BR>\n" );
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document.write( "K - 2 = -9<BR>\n" );
document.write( "K = -7<BR>\n" );
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document.write( "-2K = b<BR>\n" );
document.write( "b = -2(-7)<BR>\n" );
document.write( "b = 14<BR>\n" );
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document.write( "x^2 - 9x + 14 = (x - 2)(x - 7)<BR>\n" );
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document.write( "second factor of x^2 - 9x + b is (x - 7)<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "a + b = 15<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );