Given x2 + bx + 375, find all the values of b for which the quadratic expression has factors
(x + p)
and
(x + q),
where p and q are integers. The possible values of b are the sums of the factors of 64 are ?
x^2 + bx + 375
The positive divisors of 375 are :
1 3 5 15 25 75 125 375
So b could equal the following for p,q [or vice-versa]
[375 + 1] = 376
[3 + 125] = 128
[5 + 75] = 80
[15 + 25 ] = 40