List the factors of a and c. a: 1 x 8, 2 x 4 c: 1 x 1 Since c is positive find factors from the list that will add up to the absolute value of b. 1, 1, 2, and 4 -----> (1 x 2) + (1 x 4) = 6 Arrange these four factors accordingly. Because both b and c are positive, both parentheses will have a plus sign. ( + )( + ) Ask yourself, "Which two factors with y as a variable will multiply to give me 8y^2?" Fill in the parentheses. (4y + )(2y + ) Use trial and error(by FOILing). (4y + 1)(2y + 1) Check answer. (4y)(2y) = 8y^2 (4y)(1) = 4y (2y)(1) = 2y (1)(1) = 1 Set up as a polynomial. 8y^2 + 4y + 2y + 1 Combine like-terms. 8y^2 + 6y + 1
