document.write( "Question 328: Hi I'm an older student and I have a problem I don't understand. How would you solve polynomials by factoring? This is the problem: 2x^4=16x^2. Thank You \n" ); document.write( "
Algebra.Com's Answer #151 by AnlytcPhil(1810) You can put this solution on YOUR website! Hi I'm an older student and I have a problem I don't\r\n" ); document.write( "understand. How would you solve polynomials by factoring?\r\n" ); document.write( "This is the problem: 2x^4=16x^2. Thank You\r\n" ); document.write( "\r\n" ); document.write( " 2x4 = 16x2 \r\n" ); document.write( "First observe that both sides can be divided by 2. So we\r\n" ); document.write( "can make it simpler by dividing both sides by 2\r\n" ); document.write( " x4 = 8x2\r\n" ); document.write( "Get zero on the right side:\r\n" ); document.write( " x4 - 8x2 = 0\r\n" ); document.write( "Factor out x2 on the left side:\r\n" ); document.write( " x2(x2 - 8) = 0\r\n" ); document.write( "Set each of these factor = 0 separately and solve:\r\n" ); document.write( "Setting first factor = 0\r\n" ); document.write( " x2 = 0\r\n" ); document.write( " x = 0\r\n" ); document.write( "Setting second factor = 0\r\n" ); document.write( " x2 - 8 = 0\r\n" ); document.write( " x2 = 8\r\n" ); document.write( "Take square roots of both sides \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` _ \n" ); document.write( "` ` ` ` ` ` ` ` ` ` x = ±Ö8 \n" ); document.write( "Simplify radical:` ` ` ` `___ \n" ); document.write( "` ` ` ` ` ` ` ` ` ` x = ±Ö4·2 \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` _ `_ \n" ); document.write( "` ` ` ` ` ` ` ` ` ` x = ±Ö4·Ö2 \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` `_ \n" ); document.write( "` ` ` ` ` ` ` ` ` ` x = ±2Ö2 \n" ); document.write( "` \n" ); document.write( "Edwin J\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |