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The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.

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Q: What is a zero of a quadratic function?
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What are the roots of a quadratic?

The roots of a quadratic function are where the lies interescts with the x-axis. There can be as little as zero.


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If its discriminant is less than zero it can't be factored.


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Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.


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