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Assuming the polynomial is written in terms of "x": It means, what value must "x" have, for the polynomial to evaluate to zero? For example:

f(x) = x2 - 5x + 6

has zeros for x = 2, and x = 3. That means that if you replace each "x" in the polynomial with 2, for example, the polynomial evaluates to zero.

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11y ago

A function maps "input" values to "output" values. A zero of a function is any "input" value that will map to an "output" value of zero. For example, a value of "x" for which the equation f(x) = 0 is true.

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Q: What is a zero of a function?
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What is the zero of a function and how does it relate to the functions graph?

A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.


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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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