document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601695>Question 601695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.  I am confusing myself more every time I try to work this.\r<BR>\n" );
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document.write( "Factor the following expression completely:<BR>\n" );
document.write( "12y5 – 34xy4 + 14x2y3 \r<BR>\n" );
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document.write( "Also, if you could please tell me if I answered this right I would appreciate it.\r<BR>\n" );
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document.write( "Question:  Andrew factored the expression 24x^3 – 8x^2 – 32x as 8x(3x^3 – x^2 -4x) . But when Melissa applied the distributive law and multiplied out 8x(3x^3 – x^2 – 4x), she got 24x^4 – 8x^3 – 32x; thus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state. \r<BR>\n" );
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document.write( "Answer:Since Andrew stared his factoring with 8x he should have reduced the quotent inside the parenthesis by 1.  Also Melissa should have gotten 24x^4 - 8x^3 - 34x^2.  The correct answer should have been 8(3x^3 - x^2 = 4x)  this would have checked to the beginning expression.\r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379951 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=379951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help. I am confusing myself more every time I try to work this. <BR>\n" );
document.write( "Factor the following expression completely:<BR>\n" );
document.write( "12y5 – 34xy4 + 14x2y3<BR>\n" );
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document.write( "GCF: 2y^3<BR>\n" );
document.write( "Factored form:<BR>\n" );
document.write( "(2y^3)(6y^2 - 17xy + 7x^2)<BR>\n" );
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document.write( "Also, if you could please tell me if I answered this right I would appreciate it. <BR>\n" );
document.write( "Question: Andrew factored the expression <BR>\n" );
document.write( "24x^3 – 8x^2 – 32x as 8x(3x^3 – x^2 -4x) . \r<BR>\n" );
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document.write( "But when Melissa applied the distributive law and multiplied out 8x(3x^3 – x^2 – 4x), she got 24x^4 – 8x^3 – 32x; \r<BR>\n" );
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document.write( "thus, Andrew’s solution does not appear to check. Why is that? <BR>\n" );
document.write( "Andrew's answer should be: 8x(3x^2-x-4)<BR>\n" );
document.write( "Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.<BR>\n" );
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document.write( "Answer:Since Andrew stared his factoring with 8x he should have reduced the quotent inside the parenthesis by 1. Also Melissa should have gotten 24x^4 - 8x^3 - 34x^2. The correct answer should have been 8(3x^3 - x^2 = 4x) this would have checked to the beginning expression.<BR>\n" );
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document.write( "True, but you still have a common factor of \"x\" in your answer.<BR>\n" );
document.write( "The correct answer is 8x(3x^2-x-4)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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