SOLUTION: how do you do factor form like n to the second power + 11n +18

Question 263129: how do you do factor form like
n to the second power + 11n +18
Found 3 solutions by stanbon, checkley77, dabanfield:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
factor form like
n to the second power + 11n +18
------------------------------
n^2 + 11n + 18
---
n^2 + 2n + 9n + 18
---
n(n+2) + 8(n+2)
---
(n+2)(n+8
============================
Cheers,
Stan H.
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
n^2 + 11n +18
The factors of 18 are:
1 & 18 the sum=19
-1 & -18 the sum is=-19
2 & 9 the sum is=11 [the only factors that match the middle term.]
-2 & -9 the sum is=-11
3 & 6 the sium is=9
-3 & -6 the sum is=-9
(n+2)(n+9) ans.
Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
n to the second power + 11n +18
n^2 + 11n + 18
We want to find two factors in the form:
(n +- a)*(n +- b)
Since the sign on 18 is positive we know that the signs on the two factors are either both positive or both negative. a and b must be factors of 18 (i.e. 1, 18, 3, 6, 9, 2). We also know that a + b must be 11. Which two factors add up to 11? +9 and +2. So we have:
(n + 9)*(n + 2) = n^2 + 2n + 9n + 9*2 = n^2 +11n + 18

RELATED QUESTIONS
how do you do factor form like n^2 + 11n... (answered by drk)
how do you factor n to the 9th power minus n to the 5th... (answered by user_dude2008)
how do you get the factor form of n^2 - 3n -18 (answered by stanbon,drk)
how do you factor a problem like v to the 4th power minus... (answered by Earlsdon)
how do you factor this 3x to the second power + 24x +... (answered by MathLover1)
How do you factor 25x to the second power plus... (answered by Alan3354)
how do you do (4+z) to the second... (answered by solver91311)
how do you simplifiy 5/6 to the second power (answered by Edwin McCravy)
how do you factor: x to the 4th power -5x to the 2nd... (answered by lwsshak3)