What is the completely factored form of f(x) = x3 – 2x2 – 5x + 6?

The answer is:

(x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:

If you have x^2 it will be:

(x + y) (x + z)

If you have x^3 it will be:

(x + y) (x + z) (x + g)

If you have x^4 it will be:

(x + y) (x + z) (x + g) (x + f)

etc

now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

 The required complete factored form of the given polynomial is

Step-by-step explanation:  We are given to find the complete factored form of the following cubic expression :

Factor theorem :  If p(a) = 0 for any polynomial p(x), then (x-a) is a factor of the polynomial p(x).

Substituting x = 1 in equation (i), we get

So, (x-1) is a factor of f(x).

Therefore, we have

Thus, the required complete factored form of the given polynomial is

step-by-step explanation: