What are the factors of x2 + 4x + 3?

To factor the quadratic expression ( x^2 + 4x + 3 ), one can look for two numbers that multiply to the constant term (3) and add up to the coefficient of the linear term (4). In this case, the numbers 1 and 3 satisfy these conditions: ( 1 \times 3 = 3 ) and ( 1 + 3 = 4 ).

Using these numbers, the expression can be factored as ( (x + 1)(x + 3) ), which is equivalent to the correct answer choice. When you expand ( (x + 1)(x + 3) ) back out, you will return to the original expression of ( x^2 + 4x + 3 ), confirming that the factorization is accurate.

Additionally, while other options present different combinations, only this factorization yields the correct terms and matches the initial expression. Recognizing that the quadratic form has guiding principles regarding roots and coefficients helps in determining the correct factors more systematically.