document.write( "Question 57110: Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots. \n" ); document.write( "
Algebra.Com's Answer #39084 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "polynomial with leading \r\n" ); document.write( "coefficient 1 and degree\r\n" ); document.write( "3 that has -1, 1, and 3 \r\n" ); document.write( "as roots. 0 solutions\r\n" ); document.write( "\r\n" ); document.write( "[x-(-1)](x-1)(x-3)\r\n" ); document.write( "\r\n" ); document.write( "Remove the parentheses \r\n" ); document.write( "and change brackets to \r\n" ); document.write( "parentheses\r\n" ); document.write( "\r\n" ); document.write( "(x+1)(x-1)(x-3)\r\n" ); document.write( "(x+1)(x²-4x+3)\r\n" ); document.write( "\r\n" ); document.write( "Multiply x by each of \r\n" ); document.write( "the three terms inside \r\n" ); document.write( "the parentheses Then \r\n" ); document.write( "multiply +1 by each of\r\n" ); document.write( "the three terms in the \r\n" ); document.write( "parentheses\r\n" ); document.write( "\r\n" ); document.write( "x³-4x²+3x+x²-4x+3\r\n" ); document.write( "\r\n" ); document.write( "Swap the two middle two\r\n" ); document.write( "terms to get like terms \r\n" ); document.write( "together\r\n" ); document.write( "\r\n" ); document.write( "x³-4x²+x²+3x-4x+3\r\n" ); document.write( "\r\n" ); document.write( "Combine the like terms\r\n" ); document.write( "which are next to each \r\n" ); document.write( "other\r\n" ); document.write( "\r\n" ); document.write( "x³-3x²-x+3\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |