document.write( "Question 723736: 2x^4-3x^3+4x^2-9/
\n" ); document.write( "2x-3
\n" ); document.write( "Divide. Check you answer if there is a remainder put it over the the divisor! Thanks
\n" ); document.write( "^ means its a exponent. \n" ); document.write( "
Algebra.Com's Answer #443358 by DrBeeee(684)\"\" \"About 
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Given:
\n" ); document.write( "(1) (2x^4-3x^3 + 4x^2-9)/(2x-3)
\n" ); document.write( "Let's separate the numerator of (1) into the sum of two binomials and get
\n" ); document.write( "(2) [(2x^4-3x^3) + (4x^2-9)]/(2x-3)
\n" ); document.write( "Now factor the two numerator binomials and get
\n" ); document.write( "(3) [(x^3)*(2x-3) + (2x-3)*(2x+3)]/(2x-3)
\n" ); document.write( "Now carry out the division of each numerator term by the denominator (2x-3) and get
\n" ); document.write( "(4) (x^3)*(2x-3)/(2x-3) + (2x-3)*(2x+3)/(2x-3) or after cancellation we get
\n" ); document.write( "(5) x^3 + 2x + 3
\n" ); document.write( "Let's check this.
\n" ); document.write( "Is ((x^3+2x+3)*(2x-3) = 2x^4-3x^3+4x^2-9)?
\n" ); document.write( "Is (2x^4+4x^2+6x-3x^3-6x-9 = 2x^4-3x^3+4x^2-9)?
\n" ); document.write( "Is (2x^4-3x^3+4x^2-9 = 2x^4-3x^3+4x^2-9)? Yes
\n" ); document.write( "Answer: The given expression simplifies to x^3 + 2x + 3.
\n" ); document.write( "PS there is no remainder. \n" ); document.write( "
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