document.write( "Question 284779: Factor by grouping, if possible.\r
\n" );
document.write( "\n" );
document.write( "x^3 - 6x^2 + 5x - 30 \n" );
document.write( "
Algebra.Com's Answer #206593 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Factor by grouping, if possible. \n" ); document.write( "x^3 - 6x^2 + 5x - 30 \n" ); document.write( "-------- \n" ); document.write( "Rearrange: \n" ); document.write( "x^3+5x -6x^2-30 \n" ); document.write( "Factor the 1st two and the last two terms separately: \n" ); document.write( "--- \n" ); document.write( "x(x^2+5) -6(x^2+5) \n" ); document.write( "--- \n" ); document.write( "Factor Again: \n" ); document.write( "(x^2+5)(x-6) \n" ); document.write( "---- \n" ); document.write( "Those factors are prime in the Real Number System. \n" ); document.write( "----------------- \n" ); document.write( "In the Complex Number System the factors are: \n" ); document.write( "(x+isqrt(5))(x-isqrt(5))(x-6) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================================= \n" ); document.write( " |