document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698324>Question 698324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Completely factor the polynomial 3x*3+12x*2+3x+12<BR>\n" );
document.write( "Factor the trinomial completely x*2+15x+29<BR>\n" );
document.write( "Factor the trinomial completely x*2-12x+35<BR>\n" );
document.write( "Factor the trinomial. X*2-4x-5<BR>\n" );
document.write( "Factor the trinomial completely. Y*3-15y*2+35y<BR>\n" );
document.write( "Factor the trinomial. 4b*2-4b-15<BR>\n" );
document.write( "Factor the trinomial completely. 4x*3+10*2-50x<BR>\n" );
document.write( "Factor x*3-512<BR>\n" );
document.write( "Solve the equation (x-3)(2x+1)=0<BR>\n" );
document.write( "Solve and check. 2x*2-7=0\r<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 #430821 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Completely factor the polynomial 3x*3+12x*2+3x+12<BR>\n" );
document.write( "Factor out a 3<BR>\n" );
document.write( "Use ^, Shift 6, for exponents.  * is used for multiply.  <BR>\n" );
document.write( "The other tutor saw * as multiply.<BR>\n" );
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document.write( "= 3*(x^3 + 4x^2 + x + 4)<BR>\n" );
document.write( "Try the factors of 4, = 1, 2 & 4.  Note that all terms are positive, so no negative factors.<BR>\n" );
document.write( "f(x) = x^3 + 4x^2 + x + 4<BR>\n" );
document.write( "Try x+1.  If it's a factor, then f(-1) will be zero.<BR>\n" );
document.write( "f(-1) = -1 + 4 - 1 + 4 <> 0<BR>\n" );
document.write( "x+1 doesn't work.<BR>\n" );
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document.write( "Try x+2<BR>\n" );
document.write( "f(-2) = -8 + 16 - 2 + 4 also <> 0<BR>\n" );
document.write( "Try x+4<BR>\n" );
document.write( "f(-4) = -64 + 64 - 4 + 4 which is zero.<BR>\n" );
document.write( "Divide the polynomial by (x+4)<BR>\n" );
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document.write( "= 3(x+4)(x^2+1)<BR>\n" );
document.write( "====================\r<BR>\n" );
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document.write( "Factor the trinomial completely x*2+15x+29<BR>\n" );
document.write( "That can't be factored.<BR>\n" );
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document.write( "Factor the trinomial completely x*2-12x+35<BR>\n" );
document.write( "Find 2 factors of 35, both negative, that add to -12.<BR>\n" );
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document.write( "Factor the trinomial. X*2-4x-5<BR>\n" );
document.write( "Easy one.<BR>\n" );
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document.write( "Factor the trinomial completely. Y*3-15y*2+35y<BR>\n" );
document.write( "Factor out a y, then look for 2 factors of 35 (both -) that add to -15.<BR>\n" );
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document.write( "Factor the trinomial. 4b*2-4b-15<BR>\n" );
document.write( "This one has more possibilities, both end terms have more than 1 pair of factors.<BR>\n" );
document.write( "It could be (b + p)*(4b + q) or (2b + p)*(2b + q), and the signs of p & q are opposite.<BR>\n" );
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document.write( "Factor the trinomial completely. 4x*3+10*2-50x<BR>\n" );
document.write( "Step 1, factor out 2x.<BR>\n" );
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document.write( "Factor x*3-512<BR>\n" );
document.write( "A difference of 2 cubes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3+-+b%5E3+=+%28a-b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E3+-+b%5E3+=+%28a-b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve the equation (x-3)(2x+1)=0<BR>\n" );
document.write( "If the product is zero, either<BR>\n" );
document.write( "x-3 = 0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2x+1 = 0<BR>\n" );
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document.write( "Solve and check. 2x*2-7=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+=+7 ALIGN=MIDDLE  ALT=\"2x%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+7%2F2 ALIGN=MIDDLE  ALT=\"x%5E2+=+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+sqrt%287%2F2%29+=+sqrt%2814%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+sqrt%287%2F2%29+=+sqrt%2814%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plus and minus.<BR>\n" );
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