Answer:(3x−2)⋅(2x+1)
Explanation:
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) - x) - 2
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 6x2-x-2
The first term is, 6x2 its coefficient is 6 .
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 6 • -2 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3
6x2 - 4x + 3x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (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 :
(2x+1) • (3x-2)
Which is the desired factorization
Final result :
(3x - 2) • (2x + 1)