Factories: x^2+5x+6?

3 Answers
Apr 14, 2018

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

Apr 14, 2018

(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

Aug 5, 2018

(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!