Question

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

A. f(x) = (x + 2)(x – 3)(x + 6)
B. f(x) = (x + 2)(x – 3)(x – 6)
C. f(x) = (x – 2)(x + 3)(x – 1)
D. f(x) = (x + 2)(x – 3)(x – 1)

Answer 1

ur answer is D ;) ur welcome

Answer 2

(D)

Explanation:

The given equation is:

`f(x)=x^3-2x^2-5x+6`

Factorizing the above equation, we have

`f(x)=(x-1)(x^2-x-6)`

`f(x)=(x-1)(x^2-3x+2x-6)`

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

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

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

which is the required factorized form.

Thus, option D is correct.