# How do you factor #x^2 + 4x + 3#?

##### 2 Answers

#### Answer:

The factors are

#### Explanation:

We are asked for factorise:

First notice that the function is a quadratic and so will have two factors. Since the coefficient of

Hence, we need to find a and b such that the product of the factors is equal to the given quadratic function .

Now consder the absoute value of constant term, 3. Since 3 is prime its only factors are 3 and 1. Since the constant term is positive, a and b can only be 3 and 1 or -3 and -1.

Finally observe that the coefficient of

Hence we see that:

Therefore the factors are

#### Answer:

(x + 1)(x + 3)

#### Explanation:

y = x^2 + 4x + 3

Since a - b + c = 0, use shortcut:

- One real root is (-1) and the factor is (x + 1)

- The other real root is (-c/a = - 3), and the factor is (x + 3)

Therefor,

y = (x + 1)(x + 3)