Renee is asked to find a factor of x3−5x2+6x, given that x is one of the linear factors. Which of the following is another correct factor?(1 point)

x−2

x+3

x+2

x^2+5x+6

1 answer

To find a factor of a polynomial, we can use synthetic division.

Let's use x = 2 as a potential factor.

Starting with the coefficients of our polynomial: 1, -5, 6, 0

Using synthetic division:

2 | 1 -5 6 0
- 2 -6 0
-----------------
1 -3 0 0

The result of synthetic division gives us the remainder 0. This means that (x-2) is a factor of the polynomial x^3 - 5x^2 + 6x.

Therefore, the correct factor from the given options is x-2.