Answer:
STEP1:Equation at the end of step 1
((0 - (15 • (x3))) - 5x2) + 10x
STEP 2 :
Equation at the end of step2:
((0 - (3•5x3)) - 5x2) + 10x
STEP3:
STEP4:Pulling out like terms
4.1 Pull out like factors :
-15x3 - 5x2 + 10x = -5x • (3x2 + x - 2)
Trying to factor by splitting the middle term
4.2 Factoring 3x2 + x - 2
The first term is, 3x2 its coefficient is 3 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 3 • -2 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 1 .
-6 + 1 = -5 -3 + 2 = -1 -2 + 3 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 3
3x2 - 2x + 3x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (3x-2)
Add up the last 2 terms, pulling out common factors :
1 • (3x-2)
Step-5 : Add up the four terms of step 4 :
(x+1) • (3x-2)
Which is the desired factorization
Final result :
-5x • (3x - 2) • (x + 1)
