Answer:
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • -7 = -28
Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12
( -28 + 1 = -27
-14 + 2 = -12 )
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors :
2x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Add up the four terms :
(2x+1) • (2x-7)
