## Thinking Mathematically (6th Edition)

$2x^{2}$ + 7x +3 step 1. Find two first terms whose product is $2x^{2}$ $2x^{2}$ +7x +3 =(2x__)(x__) Step 2. To find the second term of each factor, we must find two integers whose product is 3 and whose sum is 7 List pairs of factors of the constant, 3 (1,3) step 3. The correct factorization of $2x^{2}$ +7x +3 is the one in which the sum of the Outside and Inside products is equal to 7x list of the possible factorization : (x+3)(2x+1)= $2x^{2}$ +7x +3 So, (x+3)(2x+1) is the solution.