Question

Select "Prime" if the polynomial cannot be factored 3w³-15w²-18w

Answer 1

The polynomial 3w³-15w²-18w can be factored as 3w(w - 6)(w + 1).

Step-by-step explanation:

To determine if the polynomial 3w³-15w²-18w can be factored, we need to factor out the greatest common factor. The greatest common factor in this case is 3w. Factoring out 3w from the polynomial, we have: 3w(w² - 5w - 6). Now we can factor the quadratic expression w² - 5w - 6 further. The quadratic expression can be factored as (w - 6)(w + 1). Therefore, the original polynomial can be factored as 3w(w - 6)(w + 1).