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Factorizable Expressions (Posted on 2015-10-21) Difficulty: 2 of 5
Each of A and B is a positive integer.

Find the relationship between A and B such that each of the expressions:
x2 + A*x + B and x2 + A*x + B + 2 is resolvable into factors of the form (x+p)(x+q), for positive integers p and q.

No Solution Yet Submitted by K Sengupta    
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another look Comment 3 of 3 |
Given positive integer k,
(k+1)+(k+2)=k+(k+3) and
(k+1)*(k+2)=k*(k+3)+2, so set A=2k+3 and B=k*(k+3).


  Posted by xdog on 2015-10-23 08:56:40
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