Answer:
-5x • (x + 2) • (x + 1)
Explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((0 - (5 • (x3))) - (3•5x2)) - 10x
Step 2 :
Equation at the end of step 2 :
((0 - 5x3) - (3•5x2)) - 10x
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-5x3 - 15x2 - 10x = -5x • (x2 + 3x + 2)
Trying to factor by splitting the middle term
4.2 Factoring x2 + 3x + 2
The first term is, x2 its coefficient is 1 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2
x2 + 1x + 2x + 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+1)
Add up the last 2 terms, pulling out common factors :
2 • (x+1)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x+1)
Which is the desired factorization
Final result :
-5x • (x + 2) • (x + 1)