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Look in an advanced maths book.

Improved answer:-

If the discriminant of the quadratic expression is less than zero then it's not possible to factor it.

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Q: How do you know whether it is possible to factorise a quadratic expression?
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How do you know if a quadratic equation will have whether or not it will have solutions?

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solutions


The determines how many solutions a quadratic equation will have and whether they are real or imaginary?

discriminant


The discriminant determines how many solutions a quadratic equation will have and whether they are real or?

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