MATH SOLVE

4 months ago

Q:
# express the polynomial as a product of liner factors

Accepted Solution

A:

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.