Saved Bookmarks
| 1. |
Factorise x³+4x²+x-6 |
|
Answer» Step-by-step explanation:x³ - 4 x² + x + 6 ==> x³ - 2 x² - 2 x² + x + 6 [ Split - 4 x² ] ==> x³ - 2 x² - ( 2 x² - x - 6 ) [ Take - 1 as common ] ==> x² ( x - 2 ) - ( 2 x² - 4 x + 3 x - 6 ) [ Take x² as common ] ==> x² ( x - 2 ) - [ 2 x ( x - 2 ) + 3 ( x - 2 ) ] [ Take commons ] ==> x² ( x - 2 ) - ( 2 x + 3 )( x - 2 ) ==> ( x - 2 )( x² - 2 x - 3 ) [ x - 2 is common ] ==> ( x - 2 )( x² - 3 x + x - 3 ) [ Split and SOLVE ] ==> ( x - 2 )( x ( x - 3 ) + 1 ( x - 3 )) ==> ( x - 2 )( x - 3 )( x + 1 ) The answer is ( x - 2 )( x - 3 )( x + 1 ) |
|