## Thinking Mathematically (6th Edition)

$2x^{2}$ - 5x + 3= (x-1) (____) step 1. Find two first terms whose product is $2x^{2}$ $2x^{2}$ - 5x +3 = (x-1) (2x__) Step 2. To find the second term of each factor, we must find two integers whose product is 3 and whose sum is -5 List pairs of factors of the constant, 3 (1,3)(-1,-3) step 3. The correct factorization of $2x^{2}$ -5 x +3 is the one in which the sum of the Outside and Inside products is equal to -5x. list of the possible factorization : (x+1)(2x+3) = $2x^{2}$+5x+3 (x-1)(2x-3) = $2x^{2}$ - 5x +3 So, (x-1)(2x-3) is the solution