document.write( "Question 22014: How do I factor 16t^2 -180+464? \n" ); document.write( "
Algebra.Com's Answer #10640 by venugopalramana(3286) You can put this solution on YOUR website! 16t^2 -180+464?..TAKE OUT COMMON FACTOR IF ANY FIRST..HERE 4 IS COMMON...SO.. \n" ); document.write( "=4(4T^2-45T+116)...NOW TAKE THE PRODUCT OF T^2 AND CONSTANT TERMS=4*116=464..TRY TO FIND 2 FACTORS FOR THIS PRODUCT WHOSE SUM IS THE COEFFICIENT OF X TERM =-45...WE HAVE (-16)*(-29)=+464 AND -16-29=-45...SO NOW REWRITE THE GIVEN EXPRESSION BREAKING MIDDLE TERM OF -45T AS -16T-29T AND TAKE OUT COMMON FACTORS.. \n" ); document.write( "=4(4T^2-16T-29T+116) \n" ); document.write( "=4{4T(T-4)-29(T-4)} \n" ); document.write( "=4(T-4)(4T-29) \n" ); document.write( " |