Answer:
22x2 - 9x) - 9
Trying to factor by splitting the middle term
Factoring 4x2-9x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
4x2 - 12x + 3x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
3 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+3) • (x-3)
Hope this helps!
