Which of the following represents the zeros of the function g(x) = x 3 - 9x 2 + 2x + 48?


A. x = –8, x = 2, and x = –3


B. x = 8, x = –2, and x = 3


C. x = 6, x = –4, and x = 9


D. x = –6, x = 4, and x = –9
I need help

1 answer

g(x) = x^3 - 9x^2 + 2x + 48

Look for the easy roots first: 1,2,3.

A little synthetic division quickly shows that

g(x) = (x+2)(x-3)(x-8)