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
Welcome back EVELYN — been a while! Let's pick up where you left off. To factorize the quadratic expression 2x^2 + 7x + 3, we look for two numbers that multiply to A × C and add up to B. Here, A=2, B=7, and C=3. Step 1: Find two numbers that multiply to A × C and add to B. We need two numbers that multiply to 2 × 3 = 6 and add up to 7. These numbers are 1 and 6. Step 2: Rewrite the middle term using these two numbers. 2x^2 + 7x + 3 = 2x^2 + x + 6x + 3 Step 3: Group the terms and factor out the common factor from each group. (2x^2 + x) + (6x + 3) x(2x + 1) + 3(2x + 1) Step 4: Factor out the common binomial (2x + 1). (2x + 1)(x + 3) Comparing this with the given options: a. (2x+1)(x+3) b. (2x+1)(x+1) c. (2x+3)(x+1) d. (x+3)(x+1) The correct option is a. The final answer is a. (2x+1)(x+3). Send me the next one 📸