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
Here's a step-by-step guide for Alice to factorize the algebraic expression: 3.5.1 Provide Alice with a step-by-step guide on how to factorize the algebraic expression. The expression is 3x^2 + 7x - 12x - 34 - 2x^2 + 10. Step 1: Simplify the expression by combining all like terms. Combine the x^2 terms, the x terms, and the constant terms. (3x^2 - 2x^2) + (7x - 12x) + (-34 + 10) x^2 - 5x - 24 Step 2: Identify two numbers that multiply to the constant term (which is -24) and add up to the coefficient of the middle term (which is -5). The two numbers are 3 and -8, because 3 × (-8) = -24 and 3 + (-8) = -5. Step 3: Write the simplified trinomial as a product of two binomials using these two numbers. (x + 3)(x - 8) The factored expression is (x + 3)(x - 8). Last free one today — make it count tomorrow, or type /upgrade for unlimited.