5n2 – 3n – 296 = 0.
Answers
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 5 • -296 = -1480
Step-2 : Find two factors of -1480 whose sum equals the coefficient of the middle term, which is -3 .
-1480 + 1 = -1479
-740 + 2 = -738
-370 + 4 = -366
-296 + 5 = -291
-185 + 8 = -177
-148 + 10 = -138
-74 + 20 = -54
-40 + 37 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -40 and 37
5n2 - 40n + 37n - 296
Step-4 : Add up the first 2 terms, pulling out like factors :
5n • (n-8)
Add up the last 2 terms, pulling out common factors :
37 • (n-8)
Step-5 : Add up the four terms of step 4 :
(5n+37) • (n-8)