Irreducible

Algebra Level 2

Which of the following quadratics is irreducible over the rational numbers?

2 x 2 5 x 3 2x^2 - 5x - 3 5 x 2 2 x 3 5x^2 - 2x - 3 5 x 2 2 x + 3 5x^2 - 2x + 3 2 x 2 5 x + 3 2x^2 - 5x + 3

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1 solution

Genis Dude
Jul 5, 2017

For the equation to be in irreducible form,

Discriminant (b^2-4ac) must be lesser than 0

Where 'a' is coefficient of x^2 ,'b' is coefficient

x and 'c' is the constant.

In second option b^2-4ac is equal to -56.

Therefore,it is irreducible

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