document.write( "Question 1201314: Please help with: 4w^11-w^12 in standard form \n" ); document.write( "
Algebra.Com's Answer #835640 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: -w^12 + 4w^11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reasoning: \n" ); document.write( "We list the term with the largest exponent first, then next largest, and so on. \n" ); document.write( "We count down the exponents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rewrite 4w^11-w^12 as 4w^11 + (-w^12) \n" ); document.write( "Then use the rule A+B = B+A to swap the terms being added. \n" ); document.write( "We arrive at -w^12 + 4w^11 \n" ); document.write( "The leading term is -w^12 \n" ); document.write( "The leading coefficient is -1. \n" ); document.write( "The degree of this polynomial is 12, aka the largest exponent. \n" ); document.write( "We consider this a 12th degree binomial since we have 2 terms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another example of standard form is: 5x^4+7x^3+x^2 \n" ); document.write( "The exponents here count down: 4,3,2 \n" ); document.write( " \n" ); document.write( " |