Answer:
(-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)
