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.
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)