What is the completley factored form of f(x)=x^3-2x^2-5x+6

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

Step-by-step explanation:

We are given the following function and we are to factorize it completely:

To factorize this completely, we will use the rational roots theorem.

P = ± multiples of constant term

Q = ± multiples of the coefficient of highest degree term  

So the factors will be .

The possible rational roots are .

1 is a confirmed root and now we will use synthetic division to find the other rational roots:

1 | 1  -2  -5   6

        1   -1   -6

___________

   1   -1   -6   0    

So the polynomial will be which can we factorize now.

Therefore, the completely factorized form of the given function is f(x) = (x - 1)(x + 2)(x - 3).

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

b

step-by-step explanation: