Answer:
2 • (x - 6) • (3x + 2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
STEP 1 : Equation at the end of step 1
((2•3x2) - 32x) - 24
STEP 2 : Pulling out like terms
Pull out like factors :
6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)
Trying to factor by splitting the middle term
Factoring 3x2 - 16x - 12
The first term is, 3x2 its coefficient is 3 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .
-36 + 1 = -35
-18 + 2 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2
3x2 - 18x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (x-6)
Which is the desired factorization
Final result : 2 • (x - 6) • (3x + 2)
Hope this helps~
Smoll mochi