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Which quadratic is irreducible over the real numbers?

Ax^2 - 5x + 6
Bx^2 + x + 1
Cx^2 - 4
Dx^2 + 2x - 3
Answer & Solution
Correct answer: B. x^2 + x + 1
x^2+x+1 has discriminant 1-4 = -3, which is negative, so it has no real roots.
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