Question

What are the factors of x^2+4x+3​

Answer 1

Answer:

(x+3)(x+1)

Step-by-step explanation:

x^2+4x+3​

What 2 numbers multiply to 3 and add to 4

3*1 =3

3+1 = 4

(x+3)(x+1)

Answer 2

Answer:

(x + 1)(x + 3)

Step-by-step explanation:

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

x 2  is 1, the factors will be of the form:  

( x + a ) ( x + b )

We will assume that a and b are integers.

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  x  is positive 4 and that the sum of 3 and 1 is positive 4. Thus, a and b must be 3 and 1 (or the other way around, but this makes no difference to our factorisation) "