Answer:
( 2n - 3 ) ( 3n + 1 )
Step-by-step explanation:
6n² - 7n - 3
First, list down the possible factors of the 1st and the last term.
6n² = ( 6n * n ), ( 2n * 3n )
-3 = ( -3 * 1 ), ( 3 * -1 )
Next, list down the possible factors of them that if added the result will be the middle term.
-7n = ( 2n ) ( 1 ) + ( 3n ) ( -3 ) = 2n + ( -9n )
Then, arrange them.
( 2n - 3 ) ( 3n + 1 )
Checking:
( 2n - 3 ) ( 3n + 1 ) ; use FOIL method ( First, Outer, Inner, Last )
( 2n ) ( 3n ) + ( 2n ) ( 1 ) + ( -3 ) ( 3n ) + ( -3 ) ( 1 )
6n² + 2n - 9n - 3
6n² - 7n - 3
