Question

Factor completely: 2x2 + 10x + 12

Answer 1

`\bf 2x^2+10x+12\implies 2(x^2+5x+6)\implies 2(x+3)(x+2)`

recall that 3 * 2 = 6, and 3x + 2x = 5x.

Answer 2

Explanation:

It is a little easier if you take out the two.

2*(x^2 + 5x +6)

The numbers that multiply to 6 and adds to 5 are 3 and 2

2*(x + 3)(x + 2)

So that's how the trinomial factors.