Answer:
(x3-4x2+5x+1)/x2+x-1
Final result :
2x3 - 5x2 + 5x + 1
——————————————————
x2
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((((x3)-22x2)+5x)+1)
(————————————————————+x)-1
x2
Step 2 :
x3 - 4x2 + 5x + 1
Simplify —————————————————
x2
Checking for a perfect cube :
2.1 x3 - 4x2 + 5x + 1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 - 4x2 + 5x + 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 5x + 1
Group 2: x3 - 4x2
Pull out from each group separately :
Group 1: (5x + 1) • (1)
Group 2: (x - 4) • (x2)