Answer:
Explanation:
To factor the polynomial 15x³ - 25x² + 55x, we can begin by factoring out the greatest common factor (GCF) among the terms. In this case, the GCF is 5x:
15x³ - 25x² + 55x = 5x(3x² - 5x + 11)
Next, we need to determine if the quadratic expression inside the parentheses can be factored further. To do this, we can check if it can be factored using the quadratic formula or by factoring by grouping. However, upon inspection, it appears that the quadratic expression cannot be factored further using integer coefficients. Therefore, the factored form of the polynomial is:
15x³ - 25x² + 55x = 5x(3x² - 5x + 11)
In summary, the polynomial 15x³ - 25x² + 55x can be factored as 5x(3x² - 5x + 11).