Question

Factor completely: 2x^2 + 10x+ 12

Answer 1

2x² + 10x + 12 

2(x²+5x+6) 

2(x+3)(x+2) 

Answer 2

2x² + 10x + 12

Let's see of we can factorise it by any algebraic expression.

Since the first and last terms aren't perfect squares this won't work !

Next, splitting the middle term ?

2x² + 4x + 6x + 12
2x(x + 2) + 6(x + 2)
(2x + 6)(x + 2)

Now, we can see that we can factorise the first factor into : 2(x + 3)

So, the final factors are

2(x + 3)(x+2)