document.write( "Question 541116: *Factor out the greatest common factor.\r
\n" ); document.write( "\n" ); document.write( "16y^5 - 24y^4 -40y^3\r
\n" ); document.write( "\n" ); document.write( "5a(a + 3b) + 4(a+3b)\r
\n" ); document.write( "\n" ); document.write( "*Factor\r
\n" ); document.write( "\n" ); document.write( "X^3 +8X^2 + 2x+16\r
\n" ); document.write( "\n" ); document.write( "2bc + 4b -5c-10\r
\n" ); document.write( "\n" ); document.write( "*Factor each polynomial
\n" ); document.write( "X^2 + 12X + 11\r
\n" ); document.write( "\n" ); document.write( "*Factor out the greatest common factor from the terms of the trinomial. Then factor the remaining trinomial.\r
\n" ); document.write( "\n" ); document.write( "2x + 30x +52\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #354059 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Factor out the greatest common factor.
\n" ); document.write( "16y^5 - 24y^4 -40y^3
\n" ); document.write( "= 8y^3(2y^2-3y-5)
\n" ); document.write( "= 8y^3(2y^2-5y+2y-5)
\n" ); document.write( "= 8y^3(y(2y-5)+(2y-5)
\n" ); document.write( "= 8y^3(2y-5)(y+1)
\n" ); document.write( "--------------------------------
\n" ); document.write( "5a(a + 3b) + 4(a+3b)
\n" ); document.write( "= (a+3b)(5a+4)
\n" ); document.write( "--------------------------------
\n" ); document.write( "*Factor
\n" ); document.write( "X^3 +8X^2 + 2x+16
\n" ); document.write( "x^2(x+8)+2(x+8
\n" ); document.write( "= (x+8)(x^2+2)
\n" ); document.write( "------------------------------------
\n" ); document.write( "2bc + 4b -5c-10
\n" ); document.write( "= 2b(c+2)-5(c+2)
\n" ); document.write( "= (c+2)(2b-5)
\n" ); document.write( "==========================
\n" ); document.write( "*Factor each polynomial
\n" ); document.write( "X^2 + 12X + 11
\n" ); document.write( "= (x+11)(x+1)
\n" ); document.write( "-------------------------
\n" ); document.write( "*Factor out the greatest common factor from the terms of the trinomial. Then factor the remaining trinomial.
\n" ); document.write( "2x^2 + 30x +52
\n" ); document.write( "= 2(x^2+15x+26)
\n" ); document.write( "= 2(x^2+13x+2x+26)
\n" ); document.write( "= 2(x(x+13)+2(x+13))
\n" ); document.write( "= 2(x+13)(x+2)
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "====================
\n" ); document.write( "
\n" );