Try to find this zero its hard for me

[cunning glen]

Try to find the Zeros of the given polynomial function

f(x) = x3 + 3x2 – 6x – 8.

[fading crater]

Ok so for these kind of question, i dunno if this is a sure fire way of solving it, i like to make a substitution so that the last term disappears (coefficient of x is 0), which is -8 in this case

Notice how -8 = (‐2)^3

For u to understand what i mean, ill show u another example, since im not good at explaining

Now ignore the fact that you could just use a^3+b^3 identity on that

Now u can procced either by putting y = x+1 or just keeping as is

Notice how -3x^2 -3x = -3x( x+1)

Try doing the same for ur question

If someone has a better method then do that

[celest depot]

Use the hit and trial and the factor theorem to factorise,
(x+1)(x-2)(x+4)
So the zeroes will be, -1,2,-4

[drowsy lynx]

use poly division like he said '

poly division and the factor theorem