Which of the following represents the zeros of f(x) = 6x3 − 35x2 + 26x − 5?
the answer choices are
A. -5, one third, one half
B. 5, negative one third, one half
C. 5, one third, negative one half
D. 5, one third, one half
Given the function: f(x)=6x³-35x²+26x-5 to get the zeros we need to factorize the polynomial given: to factorize we look for a number such that when we substitute in the equation we get a zero: first number is: x=5 thus: to get the rest of the number we shall have: (6x³-35x²+26x-5)÷(x-5) =(3x-1)(2x-1) thus the other roots are: x=1/3 and x=1/2 hence the answer will be: C. 5, one third, negative one half