Answer:
(x - 4) • (2x + 3)
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
2x2 - 8x + 3x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-4)
Add up the last 2 terms, pulling out common factors :
3 • (x-4)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (x-4)
Which is the desired factorization
Final result :
(x - 4) • (2x + 3)
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