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Find all integers \(n\) such that the quadratic \(7x^2 + nx - 11\) can be expressed as the product of two linear factors with integer coefficients.

 Apr 20, 2020
 #1
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7x2 + nx -11 could be factored as:

(7x - 1)(x + 11)

(7x + 1)(x - 11)

(7x - 11)(x + 1)

(7x + 11)(x - 1)

 

Multiplying these out will give you the various possibilities for n ...

 Apr 20, 2020

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