For each polynomial function A list all possible rational ze

For each polynomial function

A) list all possible rational zeros

B) find all rational zeros

C) factor f(x)

36. f(x) = x3 + 5x2 + 2x-8

f(x) = x³ + 5 * x² + 2 * x - 8

= (x-1) * (x² + 6x +8)

= (x - 1) * (x + 4) * (x + 2)

So , All rational zeros are 1 , -2 , -4