In this example, = 2, = 15, and = 18. You need to find two numbers that have a sum of 15 and a a b c product of 2 18 or 36. Make a list of the factors of 36 and look for the pair of factors with a sum of 15. ⋅ Factors of 36 Sum of Factors 1, 36 37 2, 18 20 3, 12 15 Use the pattern + + + with = 2, = 3, = 12, and = 18. a mx px c, a m p c 2 + 15x + 18 = 2 + 3x + 12x + 18 = (2 + 3x) + (12x + 18) = + 3) + 6(2x + 3) x(2x = (x + 6)(2x + 3) Therefore, 2 + 15x + 18 = (x + 6)(2x + 3). Factor completely. 1. 2. 3. 4.
In this example, a = 2, b = 15, and c = 18. You need to find two numbers that have a sum of 15 and a product of 2 ⋅ 18 or 36. Make a list of the factors of 36 and look for the pair of factors with a sum of 15. Factors of 36 Sum of Factors 1, 36 37 2, 18 20 3, 12 15 Use the pattern a + mx + px + c, with a = 2, m = 3, p = 12, and c = 18. 2 + 15x + 18 = 2 + 3x + 12x + 18 = (2 + 3x) + (12x + 18) = x(2x + 3) + 6(2x + 3) = (x + 6)(2x + 3) Therefore, 2 + 15x + 18 = (x + 6)(2x + 3). Factor completely. 1. 2. 3. 4.