You can factorize x2 + 4x + 3 using the reverse FOIL method. To do so, follow these simple steps:
Find the factors of the first coefficient. In this case, 1 = 1 × 1.
Find the possible combinations of factors of 3: 1 and 3, and 3 and 1.
Create the two possible products of binomials, and compute the products of the inner and outer terms. Sum these products, and check if the result matches the second coefficient (4):
(x + 1)(x + 3), with sum of products 3 + 1 = 4
The factorization of x2 + 4x + 3 is then (x + 1)(x + 3). Read more