document.write( "Question 760787: need help fatoring this polynomial completely. 8x^3 + 4x^2 - 2x-1 and use the square root property to solve the equation. (1-x)^2 = 4. \n" ); document.write( "
Algebra.Com's Answer #462863 by Edwin McCravy(20060) You can put this solution on YOUR website! \r\n" ); document.write( "8x³+4x²-2x-1\r\n" ); document.write( "\r\n" ); document.write( "Factor 4x² out of the first two terms:\r\n" ); document.write( "\r\n" ); document.write( "4x²(2x+1)-2x-1\r\n" ); document.write( "\r\n" ); document.write( "Factor -1 out of the last two terms:\r\n" ); document.write( "\r\n" ); document.write( "4x²(2x+1)-1(2x+1)\r\n" ); document.write( "\r\n" ); document.write( "Now there are just two terms. Factor (2x+1) out of those \r\n" ); document.write( "two terms:\r\n" ); document.write( "\r\n" ); document.write( "(2x+1)(4x²-1)\r\n" ); document.write( "\r\n" ); document.write( "Factor the second factor as the difference of two squares:\r\n" ); document.write( "\r\n" ); document.write( "(2x+1)(2x-1)(2x+1)\r\n" ); document.write( "\r\n" ); document.write( "and since the (2x-1) appears twice as a factor:\r\n" ); document.write( "\r\n" ); document.write( "(2z+1)²(2x-1)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |