document.write( "Question 181905: Factor...
\n" );
document.write( "3x2 – 11x + 10\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "8x3 + 1\r
\n" );
document.write( "\n" );
document.write( "with those two i just cannot get the right answer... :-( \n" );
document.write( "
Algebra.Com's Answer #136541 by nerdybill(7384) You can put this solution on YOUR website! 3x2 – 11x + 10 \n" ); document.write( "= (3x-5)(x-2) \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "8x^3 + 1 \n" ); document.write( "Notice this is \"sum of cubes\": \n" ); document.write( "(2x)^3 + (1)^3 \n" ); document.write( "Sum of cubes, fall under a \"special\" factoring class. You are expected to remember: \n" ); document.write( "A^3 + B^3 = (A + B)(A^2 - AB + B^2) \n" ); document.write( "Therefore: \n" ); document.write( "(2x)^3 + (1)^3 \n" ); document.write( "So, in your case: \n" ); document.write( "A=2x and B=1 \n" ); document.write( "(A + B)(A^2 - AB + B^2) \n" ); document.write( "(2x + 1)((2x)^2 - (2x)(1) + (1)^2) \n" ); document.write( "(2x + 1)(4x^2 - 2x + 1) \n" ); document.write( ". \n" ); document.write( "So: \n" ); document.write( "8x^3 + 1 = (2x + 1)(4x^2 - 2x + 1) \n" ); document.write( " \n" ); document.write( " |