What are the binomial factors of the polynomial x^3-5x^2+2x+8

(-x - 1) • (x - 2) • (x - 4)

Step-by-step explanation:

Step by step solution:

Step 1:

Equation at the end of step 1:

(((0 - (x3)) + 5x2) - 2x) - 8

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

-x3 + 5x2 - 2x - 8 =

-1 • (x3 - 5x2 + 2x + 8)

Checking for a perfect cube:

3.2 x3 - 5x2 + 2x + 8 is not a perfect cube

Trying to factor by pulling out:

3.3 Factoring: x3 - 5x2 + 2x + 8

Thoughtfully split the expression at hand into groups, each group having two terms:

Group 1: 2x + 8

Group 2: x3 - 5x2

Pull out from each group separately:

Group 1: (x + 4) • (2)

Group 2: (x - 5) • (x2)

I think the answer is B on edge

Step-by-step explanation:

(x - 4), (x - 2), (x + 1)