document.write( "Question 55641: please help factor completly x^3-2x^2-x+2 \n" ); document.write( "
Algebra.Com's Answer #43264 by mystic1306(20)![]() ![]() You can put this solution on YOUR website! x^3-2x^2-x+2 \n" ); document.write( "Pull out the Greatest Common Factor of x^3-2x^2 and -x+2 \n" ); document.write( "x^2 is the GCF of x^3-2x^2 and goes on the outside of the () \n" ); document.write( "now x^3-x^2= x and 2x^2-x^2= 2 now put them in () and don't forget the sign from the original problem it should look like this x^2(x-2) \n" ); document.write( "and -1 is the GCF of -x+2 so repeating what we did before -1(x-2) the -1 changes the sign of +2 \n" ); document.write( "you end up with \n" ); document.write( "x^2(x-2)-1(x-2)\r \n" ); document.write( "\n" ); document.write( "*the numbers in the () (x-2) and (x-2) MUST match\r \n" ); document.write( "\n" ); document.write( "now the (x-2) and the other (x-2) become one (x-2) \n" ); document.write( "and x^2 and -1 go in () (x^2-1) \n" ); document.write( "now put them together \n" ); document.write( "(x-2)(x^2-1) or (x^2-1)(x-2) \n" ); document.write( "it doesn't matter which one you put first \n" ); document.write( " |