The factorization of the trinomial term is the product of the GCF column sum (5x + 1) and the GCF row sum (-1x + 3) giving us (5x + 1)(-x + 3). For the first column, the greatest common factor is 5x and 1 for the second. Next we need to find the greatest common factor for each column. For the bottom row, the greatest common factor is 3. For the top row, the greatest common factor is -1x. We need to find the greatest common factor for each row. Now that we know that 14x is equal to -1x + 15x, we can complete the box with these terms in the other two corners. Generally, we place the first term in the upper-left-hand corner and the last term in the lower-right-hand corner. We fill the box with the terms of the quadratic function. To factor this quadratic function, where the right side is a trinomial with 'a в‰ 1', we use the box method. It looks like we've found the correct factor pair. The first combination of -1 and 15 equals 14. Remember, we're looking for 14 as the result. Next, we want to find the pair that sums to b, which, in our case is positive 14. These are the only possible factor pairs of -15. Let's think of the possible factors of -15. Now, we have to find the factor pairs of -15 (since -15 is negative, only one of the factors should be negative). First, we have to find the product of a and c, which is -5 times 3, which equals -15. In this problem, a = -5, b = 14, and c = 3. Hmm this is not easy to solve, but Sammy's special spectacles can factor things in a jiffy.ДЄs you know, the standard form of a quadratic function is y = axВІ + bx + c. We are looking for h(x) = 0, or when the ball hits the ground. The batter hits the ball with this function: h(x) = -5xВІ + 14x + 3, where h(x) represents the height of the ball in feet and 'x' represents the time in seconds. Samuel is standing in right field, ready for anything. Let's take a look at the view from his glasses. Before the player hits the ball, he gets a function of the flight path of the ball to know where it will land. He uses factoring trinomials to figure out when the ball will hit the ground. Samuel developed a special pair of glasses to analyze his opponents. He wants to join the baseball team, but since he's not a real big athlete he uses his engineering skills to figure out a way to make the team.

Quadratic trinomial