Question

Factories: x^2+5x+6?

Answer 1

x = -2,-3

Explanation:

1/ `x^2 +5x+6 = 0`
2/ `(x +3)(x+2) =0`
3/ `x+3=0 ; x+2=0`
4/ x = -2,-3

Answer 2

(x+2)(x+3)

Explanation:

this one is a very simple exercise for factorization
what you do is check the factors of 6 and check their sum to see if any of them give you 5 and since they are factors of 6 when you multiply them it will give you 6

`x^2` + 3x + 2x + 6 = `x^2` + 5x + 6

Answer 3

`(x+2)(x+3)`

Explanation:

To factor this, let's do a little thought experiment:

What two number sum up to `5` (middle term) and have a product of the last term (`6`)?

After some trial and error, we arrive at `2` and `3`. This means we can factor this as

`(x+2)(x+3)`

Hope this helps!