document.write( "Question 409907: dividing polynomies
\n" ); document.write( " Hi!
\n" ); document.write( "I got my HW and i don't know how to do it and y need help
\n" ); document.write( "my problems are..
\n" ); document.write( "81x3-192=0
\n" ); document.write( "125x3+216=0
\n" ); document.write( "x4-64=0
\n" ); document.write( "-2x4+46x2=-100
\n" ); document.write( "27=-x4-12x2
\n" ); document.write( "x5-5x3+4x=0
\n" ); document.write( "

Algebra.Com's Answer #288396 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
81x3-192=0
\n" ); document.write( "125x3+216=0
\n" ); document.write( "x4-64=0
\n" ); document.write( "-2x4+46x2=-100
\n" ); document.write( "27=-x4-12x2
\n" ); document.write( "x5-5x3+4x=0\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "81x3-192=0
\n" ); document.write( "81x^3=192
\n" ); document.write( "x^3=192/81
\n" ); document.write( "take the cube root of both sides,
\n" ); document.write( "x=cube root(192/81)
\n" ); document.write( " =cube root(64*3/27*3)
\n" ); document.write( " =4cube root(3)/3cube root(3)
\n" ); document.write( " =4/3
\n" ); document.write( "..
\n" ); document.write( "125x3+216=0
\n" ); document.write( "125x^3+216=0
\n" ); document.write( "125x^3=-216
\n" ); document.write( "take the cube root of both sides
\n" ); document.write( "5x=-6
\n" ); document.write( "x=-6/5
\n" ); document.write( "..
\n" ); document.write( "x4-64=0
\n" ); document.write( "x^4=64
\n" ); document.write( "take the fourth root of both sides
\n" ); document.write( "x=64^1/4
\n" ); document.write( " =(2^4*4)^1/4
\n" ); document.write( " =2*4^1/4
\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "-2x4+46x2=-100
\n" ); document.write( "-2x^4+46x^2=-100
\n" ); document.write( "2x^4-46x^2=100
\n" ); document.write( "2x^4-46x^2-100=0
\n" ); document.write( "x^4-23x^2-50=0
\n" ); document.write( "solve for x by factoring
\n" ); document.write( "(x^2-25)(x^2+2)=0
\n" ); document.write( "x^2-25=0
\n" ); document.write( "x=+-sqrt(25)
\n" ); document.write( "x=5
\n" ); document.write( "x=-5
\n" ); document.write( "x^2+2=0
\n" ); document.write( "x=+-sqrt(2)
\n" ); document.write( "x=sqrt(2)
\n" ); document.write( "x=-sqrt(2)
\n" ); document.write( "The four roots are:5,-5,sqrt(2),-sqrt(2)
\n" ); document.write( "..
\n" ); document.write( "27=-x4-12x2
\n" ); document.write( "x^4+12x^2+27=0
\n" ); document.write( "factor
\n" ); document.write( "(x^2+9)(x^2+3)
\n" ); document.write( "x^2+9=0
\n" ); document.write( "x=+-sqrt(9)
\n" ); document.write( "x=+-3
\n" ); document.write( "x^2+3=0
\n" ); document.write( "x=+-sqrt(3)
\n" ); document.write( "The four roots are:3,-3,sqrt(3),-sqrt(3)\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "x5-5x3+4x=0
\n" ); document.write( "x^5-5x^3+4x=0
\n" ); document.write( "factor out x
\n" ); document.write( "x(x^4-5x^2+4)=0
\n" ); document.write( "x(x^2-4)(x^2-1)=0
\n" ); document.write( "x=0
\n" ); document.write( "x^2-4=0
\n" ); document.write( "x=+-sqrt(4)
\n" ); document.write( "x=+-2
\n" ); document.write( "x^2-1=0
\n" ); document.write( "x=sqrt(1)
\n" ); document.write( "x=+-1
\n" ); document.write( "The five roots are:0,-2,2,-1,1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps! Be sure to continue doing your homework.\r
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