Factorise 2x² + 7x + 3

To factors of the above equation will be in the form of (x + a) (x - b).

Answer: The factors of 2x² + 7x + 3 are ( x + 3) and (2x + 1)

Here's is the method.

Explanation: 

To find the factors of 2x² + 7x + 3 we need to split the middle term, that is, 7x.

7x = 6x + x 

Therefore, 2x² + 7x+ 3 can be written as 2x² + 6x + x + 3 .

On taking '2x' common from first two terms and +1 from next two terms we get

2x (x + 3) +1 (x + 3)

(x + 3) (2x + 1)

Thus, the factors of 2x² + 7x + 3 are (x+3) and (2x+1)