This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Identify b and c in the trinomial x^2 + 5x + 6. The general form of a quadratic trinomial is ax^2 + bx + c. Comparing x^2 + 5x + 6 with ax^2 + bx + c: a = 1 b = 5 c = 6 Step 2: Find two integers whose product is c and whose sum is b. We need two integers that multiply to c = 6 and add up to b = 5. Let's list factors of 6: • 1 × 6 = 6, Sum: 1 + 6 = 7 • 2 × 3 = 6, Sum: 2 + 3 = 5 • (-1) × (-6) = 6, Sum: (-1) + (-6) = -7 • (-2) × (-3) = 6, Sum: (-2) + (-3) = -5 The two integers are 2 and 3. The two integers are 2 and 3. 4 down, 1 left today. What's next?