To factor the quadratic equation x² + 4x + 3, we look for two numbers that both add up to the coefficient of the x term (which is 4) and multiply to the constant term (which is 3). In this case, the numbers 3 and 1 meet these criteria, as 3 + 1 equals 4 and 3 × 1 equals 3.
Thus, we can express the quadratic as the product of two binomials: (x + 3)(x + 1). This provides the correct factorization for the equation. When you expand (x + 3)(x + 1), you will indeed reach back to the original expression, confirming that these factors are accurate.
The other options do not yield the same results upon multiplication or do not satisfy the conditions for factoring based on the sum and product of the numbers associated with the quadratic.