Question

Which method is the most effective method to use to solve x^2+4x+3=0

Answer 1

Completing the square.

Explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

Answer 2

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.
`3 + 1 = 4\\\\3 * 1 = 3`

So, we have to:

`x ^2 + 4x + 3 =\\(x + 3) (x+1)`

Answer:

`(x + 3) (x + 1)`