express the polynomial as a product of liner factors

Answer:A. (x-3)(x+4)(x-6)Step-by-step explanation:We need to find the polynomial f(x)=x^3 - 5x^2 - 18x + 72 as a product of lineal factors.We're going to solve the problem using Ruffini's rule:                  1        -5         -18       723                          3          -6       -72______________________________                    1       -2         -24         0Then we have:                  1       -2         -24-4                       -4          24______________________________                  1        -6         0Lastly:                   1        -66                            6______________________________                  1            0Then, the roots are: x=6, x=-4 and x=3For that reason, the product of linear factors is:(x-6)(x+4)(x-3) which is option A.