Question

9x^2+11x-14

Answer 1

Step-1 : Multiply the coefficient of the first term by the constant 9 • -14 = -126

Step-2 : Find two factors of -126 whose sum equals the coefficient of the middle term, which is -11 .

-126 + 1 = -125
-63 + 2 = -61
-42 + 3 = -39
-21 + 6 = -15
-18 + 7 = -11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 7
9x2 - 18x + 7x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :
9x • (x-2)
Add up the last 2 terms, pulling out common factors :
7 • (x-2)
Step-5 : Add up the four terms of step 4 :
(9x+7) • (x-2)
Which is the desired factorization

Final result :

(x - 2) • (9x + 7)

Answer 2

Assume the equation equals to zero, and solve using quadratic formula.
The answers you will get are x=7/9 and x=-2
Take their opposites and put in brackets:
(x+2)(9x-7)

Answer 3

@Creepy You accidentally swapped the signs (I hope)

Answer 4

Yes, sorry.