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Which of the following is the factored form of 6n2-7n-3?​

Sagot :

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

Answer:

2n(3n+1)−3(3n+1)

( 2 − 3 ) (3 + 1 )

Step-by-step explanation:

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