document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356290>Question 356290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this\r<BR>\n" );
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document.write( "2x^8-10x^7+10x^6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254377 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=254377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help me solve this\r<BR>\n" );
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document.write( "2x^8-10x^7+10x^6\r<BR>\n" );
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document.write( "this is not an equation, it is a trinomial, a polynomial with 3 terms, if it were an equation it would be set to zero, and you would attempt to determine if there is a solution for x\r<BR>\n" );
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document.write( "however can see if this can be factored\r<BR>\n" );
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document.write( "2x^8 - 10x^7 + 10x^6<BR>\n" );
document.write( "2x^6(x^2 - 5x + 5)\r<BR>\n" );
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document.write( "the x^2 - 5x + 5 can not easily be factored\r<BR>\n" );
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document.write( "would need to use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and plug in 1 for a, -5 for b, and 5 for c<BR>\n" );
document.write( "this would result in x1 = (1/2)(5 + sqrt(5)) and x2 = (1/2)(5 - sqrt(5))\r<BR>\n" );
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document.write( "testing these factors results in:<BR>\n" );
document.write( "2x^6(x - (1/2)(5 + sqrt(5)))(x - (1/2)(5 - sqrt(5)))<BR>\n" );
document.write( "2x^6(x^2 - (1/2)x(5 - sqrt(5)) - (1/2)x(5 + sqrt(5)) + (1/2)(1/2)(5 + sqrt(5)(5 - sqrt(5)))<BR>\n" );
document.write( "2x^6(x^2 - (5/2)x + (1/2)xsqrt(5) - (5/2)x - (1/2)xsqrt(5) + (1/4)(25 - 5))<BR>\n" );
document.write( "2x^6(x^2 - 5x + (1/4)(20))<BR>\n" );
document.write( "2x^6(x^2 - 5x + 5)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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