Answer:
Step-by-step explanation:
Factoring 5n2-9n-2
The first term is, 5n2 its coefficient is 5 .
The middle term is, -9n its coefficient is -9 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 5 • -2 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -9 .
-10 + 1 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 1
5n2 - 10n + 1n - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
5n • (n-2)
Add up the last 2 terms, pulling out common factors :
1 • (n-2)
Step-5 : Add up the four terms of step 4 :
(5n+1) • (n-2)
Which is the desired factorization
