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
MOROMI, let's knock this out. Step 1: The given expression is 3x^2 - x - 4. We need to factor this quadratic expression. The student has correctly split the middle term -x into -4x + 3x. 3x^2 - x - 4 = 3x^2 - 4x + 3x - 4 Step 2: Group the terms and factor out common factors from each pair. From the first two terms, 3x^2 - 4x, the common factor is x. From the last two terms, 3x - 4, the common factor is 1. 3x^2 - 4x + 3x - 4 = x(3x - 4) + 1(3x - 4) Step 3: Factor out the common binomial factor (3x - 4). x(3x - 4) + 1(3x - 4) = (3x - 4)(x + 1) The factored form of the expression is: (3x - 4)(x + 1) Send me the next one 📸