document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32044>Question 32044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help but not sure if I had picked the right topic for this. Here are the problems and all have to be factor completely evidently.<BR>\n" );
document.write( "1.x^3-26x^2+48x<BR>\n" );
document.write( "2.x^2-6wy+3xy-2wx<BR>\n" );
document.write( "3.x^2-5x-14<BR>\n" );
document.write( "4.4x^2-36y^2<BR>\n" );
document.write( "5.3x^2-2x-8<BR>\n" );
document.write( "6.24x^2+10x-4<BR>\n" );
document.write( "I am really sorry for putting 6 of these on here but I just do not understand algebra at all. I will appreciate all the help that I can get. Thank you!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18558 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1806)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><b><font size = 3 color = \"blue\">1.  1x<sup>3</sup> - 26x<sup>2</sup> + 48x\r\n" );
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document.write( "Take out x\r\n" );
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document.write( "x(1x<sup>2</sup> - 26x + 48)\r\n" );
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document.write( "Multiply the +48 times the 1 before the x<sup>2</sup>, getting +48\r\n" );
document.write( "I. Think of two numbers which\r\n" );
document.write( "A) multiply to give +48\r\n" );
document.write( "and which also\r\n" );
document.write( "B) combine to give -26\r\n" );
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document.write( "It doesn't take long to think of -2 and -24 because\r\n" );
document.write( "A) -2 TIMES -24 gives +48\r\n" );
document.write( "and\r\n" );
document.write( "B) -2 PLUS -24 gives -26\r\n" );
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document.write( "II. Write -26x using -2 and -24\r\n" );
document.write( "   -26x = -2x - 24x\r\n" );
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document.write( "III. Replace -26x in\r\n" );
document.write( "   x(x<sup>2</sup> - 26x + 48)\r\n" );
document.write( "   \r\n" );
document.write( "   with -2x - 24x\r\n" );
document.write( "   \r\n" );
document.write( "   x(x<sup>2</sup> - 2x - 24x + 48)\r\n" );
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document.write( "IV. Change the parentheses to brackets:\r\n" );
document.write( "   x[x<sup>2</sup> - 2x - 24x + 48]\r\n" );
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document.write( "V. Factor out x in the first two terms in the brackets  \r\n" );
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document.write( "   x[x(x - 2) - 24x + 48]\r\n" );
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document.write( "VI. Factor out -24 in the last two terms in the brackets  \r\n" );
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document.write( "   x[x(x - 2) - 24(x - 2)]\r\n" );
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document.write( "VII. Factor out the common factor (x - 2) within the brackets\r\n" );
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document.write( "   x[(x - 2)(x - 24)]\r\n" );
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document.write( "VIII. Erase the brackets:\r\n" );
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document.write( "   x(x - 2)(x - 24)\r\n" );
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document.write( "------------------------------------ \r\n" );
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document.write( "2.   x<sup>2</sup> - 6wy + 3xy - 2wx\r\n" );
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document.write( "I. We can't factor the first two terms, so we must rearrange terms\r\n" );
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document.write( "   x<sup>2</sup> + 3xy - 2wx - 6wy\r\n" );
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document.write( "II. Factor x out of the first two terms   \r\n" );
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document.write( "   x(x + 3y) - 2wx - 6wy \r\n" );
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document.write( "III. Factor -2w out of the last two terms\r\n" );
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document.write( "   x(x + 3y) - 2w(x + 3y) \r\n" );
document.write( "  \r\n" );
document.write( "IV. Factor out common factor (x + 3y)\r\n" );
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document.write( "   (x + 3y)(x - 2w)\r\n" );
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document.write( "-----------------------------\r\n" );
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document.write( "3.   1x<sup>2</sup> - 5x - 14\r\n" );
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document.write( "Multiply the -14 times the 1 before the x<sup>2</sup>, getting -14\r\n" );
document.write( "I. Think of two numbers which\r\n" );
document.write( "A) multiply to give -14\r\n" );
document.write( "and which also\r\n" );
document.write( "B) combine to give -5\r\n" );
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document.write( "It doesn't take long to think of -7 and +2 because\r\n" );
document.write( "A) -7 TIMES +2 gives -14\r\n" );
document.write( "and\r\n" );
document.write( "B) -7 PLUS +2 gives -5\r\n" );
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document.write( "II. Write -5x using -7 and +2\r\n" );
document.write( "   -5x = -7x + 2x\r\n" );
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document.write( "III. Replace -5x in\r\n" );
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document.write( "   x<sup>2</sup> - 5x - 14\r\n" );
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document.write( "   with -7x + 2x\r\n" );
document.write( "   \r\n" );
document.write( "   x<sup>2</sup> - 7x + 2x - 14\r\n" );
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document.write( "IV. Factor x out of the first two terms:\r\n" );
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document.write( "  x(x - 7) + 2x - 14\r\n" );
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document.write( "V. Factor +2 out of the last two terms:\r\n" );
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document.write( "  x(x - 7) + 2(x - 7) \r\n" );
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document.write( "VI. Factor out common factor (x - 7)  \r\n" );
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document.write( "  (x - 7)(x + 2)\r\n" );
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document.write( "------------------------\r\n" );
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document.write( "4.   4x<sup>2</sup> - 36y<sup>2</sup>\r\n" );
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document.write( "First factor out 4\r\n" );
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document.write( "  4(x<sup>2</sup> - 9y<sup>2</sup>)\r\n" );
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document.write( "Change parentheses to brackets and write each as a perfect square\r\n" );
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document.write( "  4[(x)<sup>2</sup> - (3y)<sup>2</sup>]\r\n" );
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document.write( "This is the difference of two perfect squares\r\n" );
document.write( "Learn formula: A<sup>2</sup> - B<sup>2</sup> factors as (A - B)(A + B)\r\n" );
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document.write( "  4[(x) - (3y)][(x) + (3y)]\r\n" );
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document.write( "Remover the inner parentheses\r\n" );
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document.write( "  4[x - 3y][x + 3y]\r\n" );
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document.write( "Change brackets to parentheses\r\n" );
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document.write( "  4(x - 3y)(x + 3y)  \r\n" );
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document.write( "-------------------------------\r\n" );
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document.write( "5.   3x<sup>2</sup> - 2x - 8\r\n" );
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document.write( "Multiply the -8 times the 3 before the x2, getting -24\r\n" );
document.write( "I. Think of two numbers which\r\n" );
document.write( "A) multiply to give -24\r\n" );
document.write( "and which also\r\n" );
document.write( "B) combine to give -2\r\n" );
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document.write( "It doesn't take long to think of -6 and +4 because\r\n" );
document.write( "A) -6 TIMES +4 gives -24\r\n" );
document.write( "and\r\n" );
document.write( "B) -6 PLUS +4 gives -2\r\n" );
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document.write( "II. Write -2x using -6 and +4\r\n" );
document.write( "   -2x = -6x + 4x\r\n" );
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document.write( "III. Replace -2x in\r\n" );
document.write( "\r\n" );
document.write( "   3x<sup>2</sup> - 2x - 8\r\n" );
document.write( "\r\n" );
document.write( "   with -6x + 4x\r\n" );
document.write( "   \r\n" );
document.write( "   3x<sup>2</sup> - 6x + 4x - 8\r\n" );
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document.write( "IV. Factor 3x out of the first two terms:\r\n" );
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document.write( "  3x(x - 2) + 4x - 8\r\n" );
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document.write( "V. Factor +4 out of the last two terms:\r\n" );
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document.write( "  3x(x - 2) + 4(x - 2) \r\n" );
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document.write( "VI. Factor out common factor (x - 2)  \r\n" );
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document.write( "  (x - 2)(3x + 4)\r\n" );
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document.write( "----------------------------\r\n" );
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document.write( "6.   24x<sup>2</sup> + 10x - 4\r\n" );
document.write( "\r\n" );
document.write( "Take out 2\r\n" );
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document.write( "2(12x<sup>2</sup> + 5x - 2)\r\n" );
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document.write( "Multiply the -2 times the 12 before the x2, getting -24\r\n" );
document.write( "I. Think of two numbers which\r\n" );
document.write( "A) multiply to give -24\r\n" );
document.write( "and which also\r\n" );
document.write( "B) combine to give +5\r\n" );
document.write( "\r\n" );
document.write( "It doesn't take long to think of +8 and -3 because\r\n" );
document.write( "A) +8 TIMES -3 gives -24\r\n" );
document.write( "and\r\n" );
document.write( "B) +8 PLUS -3 gives +5\r\n" );
document.write( "\r\n" );
document.write( "II. Write +5x using +8 and -3\r\n" );
document.write( "   +5x = +8x - 3x\r\n" );
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document.write( "III. Replace +5x in\r\n" );
document.write( "\r\n" );
document.write( "2(12x<sup>2</sup> + 5x - 2)\r\n" );
document.write( "      \r\n" );
document.write( "   with +8x - 3x\r\n" );
document.write( "   \r\n" );
document.write( "   2(12x<sup>2</sup> + 8x - 3x - 2)\r\n" );
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document.write( "IV. Change the parentheses to brackets:\r\n" );
document.write( "\r\n" );
document.write( "   2(12x<sup>2</sup> + 8x - 3x - 2)\r\n" );
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document.write( "V. Factor out 4x in the first two terms in the brackets  \r\n" );
document.write( "\r\n" );
document.write( "   2[4x(3x + 2) - 3x - 2]\r\n" );
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document.write( "VI. Factor out -1 in the last two terms in the brackets  \r\n" );
document.write( "\r\n" );
document.write( "   2[4x(3x + 2) - 1(3x + 2)]\r\n" );
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document.write( "VII. Factor out the common factor (3x + 2) within the brackets\r\n" );
document.write( "\r\n" );
document.write( "   2[(3x + 2)(4x - 1)]\r\n" );
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document.write( "VIII. Erase the brackets:\r\n" );
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document.write( "   2(3x + 2)(4x - 1)\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com</PRE> </SPAN>\n" );
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