Found 2 solutions by vleith, Edwin McCravy:Answer by vleith(2983) (Show Source): You can put this solution on YOUR website! To solve this, find all the two pair factors of 50
50 * -1 and -50 * 1
25 * -2 and -25 * 2
5 * -10 and -5 * 10
For each pair, find the value of b that results from using that pair
Example (a + 50)(a -1) = a^2 +49a - 50 --> b=49
(a - 50)(a + 1) = a^2 -49a - 50 --> b=-49
Do the same for the other 4 pairs to find the other values of b
The only ways to factor 50 into the product of
two integers are 1x50, 2x25, and 5x10,
Therefore any factorization of must be one of these:
, so , so , so , so , so , so
So there are 6 possible values for b.
They are
±49, ±23, ±5
Edwin