Answer:
3x - 5) • (9x + 1)
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(33x2 - 42x) - 5
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 27x2-42x-5
The first term is, 27x2 its coefficient is 27 .
The middle term is, -42x its coefficient is -42 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 27 • -5 = -135
Step-2 : Find two factors of -135 whose sum equals the coefficient of the middle term, which is -42 .
-135 + 1 = -134
-45 + 3 = -42 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and 3
27x2 - 45x + 3x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
9x • (3x-5)
Add up the last 2 terms, pulling out common factors :
1 • (3x-5)
Step-5 : Add up the four terms of step 4 :
(9x+1) • (3x-5)
Which is the desired factorization
