SOLUTION: Please help! This is on my test tomorrow and I have no idea what to do! Find all positive integer values for: A.) k+8y+y^2 B.) k+6n+n^2

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Question 792832: Please help! This is on my test tomorrow and I have no idea what to do!
Find all positive integer values for:
A.) k+8y+y^2
B.) k+6n+n^2

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Find all positive integer values for:
A.) k + 8y + y^2
Find two values that add up to 8; k = these two values, multiplied
7 & 1, k = 1*7 = 7, so we have:
7 + 8y + y^2
we have integer factors of
(y+1)(y+7) (FOIL this this to prove it to yourself)
also
2 + 6, k = 2*6 = 12
12 + 8y + y^2
(y+6)(y+2)
also
3 & 5, k = 3*5 = 15
15 + 8y + y^2
(y+3)(y+5)
also
4 & 4, k = 4*4 = 16
16 + 8y + y^2
(y+4)(y+4)
:
:
B.) k + 6n + n^2
same here, find two values that add up to 6, k = these two values multiplied
5 & 1, k = 5*1 = 5
5 + 6n + n^2
(y+5)(y+1)
also
4 & 2, k=8
8 + 6n + n^2
(n+4)(n+2)
and
3 & 3, k=9
9 + 6n + n^2
(n+3)(n+3)

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