# Algebra

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When factoring an equation, how do I know if the result is prime? For example, I have a problem x^2 - 2x + 4 and I think it is prime because I can't solve it. Am I right?

• Algebra -

If an expression cannot be factored over the rational numbers, it is often considered "prime"

since x^2 - 2x + 4 cannot be factored with rational factors, you are correct.

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