document.write( "Question 318247: I am working on an assignment and can not figure out the following problems can you show me how to get the correct answers? 1. (32x^3-48x^2-56x-12)/ (8x+4) 2.I have to convert this to a decimal notation and am not sure how to go about it 10^-3 3.r^2+15r=0 I am looking for the solution to r how would I find it? 4. factor by grouping gives me trouble could you show me how to do it? 3x^3-24x^2-5x+40 5.(r-45+7)+(5r+3s)+s+2) \n" ); document.write( "
Algebra.Com's Answer #227812 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1. \"%2832x%5E3-48x%5E2-56x-12%29%2F+%288x%2B4%29\"
\n" ); document.write( "Factor out 4
\n" ); document.write( "\"%284%288x%5E3-12x%5E2-14x-3%29%29%2F+%284%282x%2B1%29%29\"
\n" ); document.write( "cancel the 4's
\n" ); document.write( "\"%288x%5E3-12x%5E2-14x-3%29%2F+%282x%2B1%29\"
\n" ); document.write( "using long division:
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\n" ); document.write( "(2x+1)| 8x^3 - 12x^2 - 14x - 3
\n" ); document.write( "you will get quotient of: 4x^2 - 8x - 3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( " 2.I have to convert this to a decimal notation and am not sure how to go about it
\n" ); document.write( "10^-3 = .001; prove this on your calc; enter 10^-3
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\n" ); document.write( "3.r^2+15r = 0 I am looking for the solution to r how would I find it?
\n" ); document.write( "Factor out r
\n" ); document.write( "r(r + 15) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "r = 0
\n" ); document.write( "r = -15
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\n" ); document.write( " 4. factor by grouping gives me trouble could you show me how to do it? 3x^3-24x^2-5x+40
\n" ); document.write( "Factor out 3x^2 on the 1st two terms, factor out 5 on the last two terms
\n" ); document.write( "Note when you factor out -5, it makes it a MINUS 8
\n" ); document.write( "3x^2(x-8) - 5(x-8)
\n" ); document.write( "Factor out (x-8) from each term; you are left with:
\n" ); document.write( "(x-8)(3x^2 - 5)
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\n" ); document.write( " 5.(r-45+7)+(5r+3s)+(s+2)
\n" ); document.write( "plus in front of the brackets so just remove them:
\n" ); document.write( "r-45+7+5r+3s+s+2
\n" ); document.write( "Group like terms
\n" ); document.write( "r + 5r + 3s + s - 45 + 7 + 2
\n" ); document.write( "6r + 4s - 36
\n" ); document.write( "Factor out 2
\n" ); document.write( "2(3r + 2s - 18) \n" ); document.write( "
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