Question

Factor the following
X^2+3x+2
x^2+15x+50
​

Answer 1

The 1st one is (x+2)(x+1)

The 2nd one is (x+5)(x+10)

Answer 2

1)
`(x+1)(x+2)`

2)
`(x+5)(x+10)`

Explanation:

You can factorize the quadratics equations by applying the proccedure shown below:

1)
`x^2+3x+2`

Find two number whose sum is 3 and whose product is 2.

These would be 1 and 2.

Rewrite it as folowing:

`(x+1)(x+2)`

2)
`x^2+15x+50`

Find two number whose sum is 15 and whose product is 50.

These would be 5 and 10.

Therefore, you can rewrite it as folowing:

`(x+5)(x+10)`