document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553627>Question 553627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Short answer: Find the product. Please show answer. -5(x^3-3x^2+4x+6)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361026 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=361026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%28x%5E3-3x%5E2%2B4x%2B6%29 ALIGN=MIDDLE  ALT=\"-5%28x%5E3-3x%5E2%2B4x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Just multiply -5 times each of the terms inside the parentheses. I think what might be confusing you is the signs. So, until you get used to the process, it might be helpful to think of this problem in the following form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2A%28%2B%28x%5E3%29%2B%28-3x%5E2%29%2B%28%2B4x%29%2B%28%2B6%29%29 ALIGN=MIDDLE  ALT=\"-5%2A%28%2B%28x%5E3%29%2B%28-3x%5E2%29%2B%28%2B4x%29%2B%28%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now just multiply out the expression by inserting the -5 multiplier for each term in parentheses as follows:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2A%28x%5E3%29+%2B+%28-5%29%2A%28-3x%5E2%29+%2B+%28-5%29%2A%284x%29+%2B+%28-5%29%286%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then do the multiplications to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E3+%2B+%2815x%5E2%29+%2B+%28-20x%29+%2B+%28-30%29 ALIGN=MIDDLE  ALT=\"-5x%5E3+%2B+%2815x%5E2%29+%2B+%28-20x%29+%2B+%28-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E3+%2B+15x%5E2+-20x+-30%29 ALIGN=MIDDLE  ALT=\"-5x%5E3+%2B+15x%5E2+-20x+-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But the shorter and quicker way would be to verbally say the following<BR>\n" );
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document.write( "-5 times x cubed is -5x^3<BR>\n" );
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document.write( "then say -5 times -3x^2 is +15x^2<BR>\n" );
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document.write( "then say -5 times 4x is -20x<BR>\n" );
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document.write( "and finally say -5 times 6 is -30<BR>\n" );
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document.write( "Then put these four answers together to get the overall answer of:<BR>\n" );
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document.write( "-5x^3 +15x^2 - 20x - 30<BR>\n" );
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document.write( "I hope this helps a little bit to clarify things for you. <BR>\n" );
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