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avatar+831 

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 ?

 Mar 16, 2016
 #1
avatar+128406 
0

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

 

 

 

cool cool cool

 Mar 16, 2016

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