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 are the completed steps for 3.4.2: 3.4.2 Here are the explanations for the mathematical steps to factorize 3x^3 - 3x^2 - 90x: | Step | Mathematical steps | Explanation | | :--- | :---------------------- | :----------------------------------------------------------------------- | | | Factorize 3x^3 - 3x^2 - 90x | | | 1 | 3(x^3 - x^2 - 30x) | Factor out 3 which is common. | | 2 | 3x(x^2 - x - 30) | Factor out x which is common from the terms inside the parenthesis. | | 7 | 3x(x - 6)(x + 5) | Factor the quadratic trinomial x^2 - x - 30 into two binomials. | Drop the next question!