Question

Factorise: `x^2+5x+6`?

Answer 1

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

Explanation:

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

You have to basically find two numbers that when added together equals to 5 and when multiplied together equals to 6 because the equation is in the form `ax^2+bx+c=0`

OR it can be written as `x^2+(sum of roots)x + (products of roots)`

Answer 2

`(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!