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
To factor ax² + bx + c, find two numbers that multiply to a·c and add to b. Example: Factor x² + 5x + 6 • Need two numbers that multiply to 6 and add to 5 • Those numbers are 2 and 3 • So x² + 5x + 6 = (x + 2)(x + 3) Special patterns: • Difference of squares: a² − b² = (a+b)(a−b) • Perfect square: a² + 2ab + b² = (a+b)² If you can't find factors easily, use the quadratic formula: x = (−b ± √(b²−4ac)) / 2a