Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
