perplexus.info :: Just Math : Factorizable Expressions

Factorizable Expressions (Posted on 2015-10-21)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

another look

| Comment 3 of 4 |

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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