document.write( "Question 268437: when x^7- 2x^4 + 5x^3 +x-9 is multiplied by -3x^6-3x^4 + 4x^3-5x^2 +1 and the like terms are combined , what is the coefficient of x^4?\r
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Algebra.Com's Answer #197115 by persian52(161)![]() ![]() You can put this solution on YOUR website! x^(7)-2x^(4)+5x^(3)+x-9*-3x^(6)-3x^(4)+4x^(3)-5x^(2)+1\r \n" ); document.write( "\n" ); document.write( "Multiply -9 by -3x^(6) to get 27x^(6). \n" ); document.write( "x^(7)-2x^(4)+5x^(3)+x+27x^(6)-3x^(4)+4x^(3)-5x^(2)+1\r \n" ); document.write( "\n" ); document.write( "Since -2x^(4) and -3x^(4) are like terms, subtract 3x^(4) from -2x^(4) to get -5x^(4). \n" ); document.write( "x^(7)-5x^(4)+5x^(3)+x+27x^(6)+4x^(3)-5x^(2)+1\r \n" ); document.write( "\n" ); document.write( "Since 5x^(3) and 4x^(3) are like terms, add 4x^(3) to 5x^(3) to get 9x^(3). \n" ); document.write( "x^(7)-5x^(4)+9x^(3)+x+27x^(6)-5x^(2)+1\r \n" ); document.write( "\n" ); document.write( "Reorder the polynomial x^(7)-5x^(4)+9x^(3)+x+27x^(6)-5x^(2)+1 alphabetically from left to right, starting with the highest order term. \n" ); document.write( "Answer:x^(7)+27x^(6)-5x^(4)+9x^(3)-5x^(2)+x+1 \n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( "coefficient of x^4? \n" ); document.write( "Answer: -5x^(4) \n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( "There you go! ☺\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |