2 • (6x2 - 3x - 2)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((22•3x2) - 6x) - 4
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x2 - 6x - 4 = 2 • (6x2 - 3x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 6x2 - 3x - 2
The first term is, 6x2 its coefficient is 6 .
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 6 • -2 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -3 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1
-3 + 4 = 1
-2 + 6 = 4
-1 + 12 = 11
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (6x2 - 3x - 2)
Hope this helped!
-Rin