document.write( "Question 862976: I have a test tomorrow on multiplying polynomials. I know how to multiply monomials and binomials, but how do i do polynomials? PLEASE HELP!
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\n" ); document.write( "\n" ); document.write( "p.s.- x^2=x squared \n" ); document.write( "
Algebra.Com's Answer #520114 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Multiply every term of the first polynomial by every term of the\r\n" );
document.write( "second polynomial and then collect like terms if possible.\r\n" );
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document.write( "Here is a illustration of what you do in general:\r\n" );
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document.write( "(A + B + C + D + E)(F + G + H) =\r\n" );
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document.write( "AF + AG + AH + BF + BG + BH + CF + CG + CH + DF + DG + DH\r\n" );
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document.write( "Note that there are 5 terms in the first and 3 terms in the second,\r\n" );
document.write( "so therefore there are 5×3 or 15 terms.  Of course none of these are\r\n" );
document.write( "like terms, but normally some are.\r\n" );
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document.write( "Your last problem:\r\n" );
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document.write( "(2x-5)(4x2-3x+1)\r\n" );
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document.write( "The first polynomial has 2 terms, the second polynomial has 3 terms,\r\n" );
document.write( "So there will be 2×3 or 6 terms before you combine terms.  So we multiple\r\n" );
document.write( "every term of the first by every term of the second:\r\n" );
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document.write( "(2x)(4x2) + (2x)(-3x) + (2x)(1) + (-5)(4x2) + (-5)(-3x) + (-5)(1)\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "8x3 - 6x2 + 2x - 20x2 + 15x - 5\r\n" );
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document.write( "Combine the two pairs of like terms:\r\n" );
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document.write( "8x3 - 26x2 + 17x - 5\r\n" );
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document.write( "Suppose you had\r\n" );
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document.write( "(3y3-2y2+7y-5)(2y2-y+9)\r\n" );
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document.write( "The first polynomial has 4 terms, the second polynomial has 3 terms,\r\n" );
document.write( "So there will be 4×3 or 12 terms before you combine terms.  So we multiply\r\n" );
document.write( "every term of the first by every term of the second.\r\n" );
document.write( "(I'll have to write them small to get all 12 on one line):\r\n" );
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document.write( "(3y3)(2y2)+(3y3)(-y)+(3y3)(9)+(-2y2)(2y2)+(-2y)(-y)+(-2y)(9)+(7y)(2y2)+(7y)(-y)+ (7y)(9)+(-5)(2y2)+(-5)(-y)+(-5)(9)\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "6y5 - 3y4 + 27y3 - 4y4 + 2y3 - 18y2 + 14y3 - 7y2 + 63y - 10y2 + 5y - 45\r\n" );
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document.write( "Combine all the like terms:\r\n" );
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document.write( "6y5 - 7y4 + 43y3 - 35y2 + 68y - 45\r\n" );
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document.write( "Edwin
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