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 manjay9804398176 — missed you this week. I will solve question 7(a) from the image. The question asks to factorize the expression 2x^2 + 5x + 2. Step 1: Identify the coefficients. For a quadratic expression in the form ax^2 + bx + c, we have a=2, b=5, and c=2. Step 2: Find two numbers that multiply to ac and add to b. Here, ac = 2 × 2 = 4. We need two numbers that multiply to 4 and add to 5. These numbers are 1 and 4. Step 3: Rewrite the middle term using these two numbers. 2x^2 + 5x + 2 = 2x^2 + 1x + 4x + 2 Step 4: Factor by grouping. Group the terms and factor out the common factors from each group. (2x^2 + x) + (4x + 2) x(2x + 1) + 2(2x + 1) Step 5: Factor out the common binomial. (2x + 1)(x + 2) The factored form of 2x^2 + 5x + 2 is (2x + 1)(x + 2). The final answer is (2x + 1)(x + 2). Send me the next one 📸