#### victoria0212

##### New member

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Someone please explain what to do. Thanks!

- Thread starter victoria0212
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- Feb 13, 2020

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Someone please explain what to do. Thanks!

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Please tell us the "definition" of the "roots" of a polynomial function.

Someone please explain what to do. Thanks!

- Joined
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You just want me to explain the definition? Well, the roots of a polynomial are the values of the variable that cause the polynomial to evaluate to zero.Please tell us the "definition" of the "roots" of a polynomial function.

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Excellent! That is correct.You just want me to explain the definition? Well, the roots of a polynomial are the values of the variable that cause the polynomial to evaluate to zero.

Now please tell us:

what is the value of f(x) = (x-2)(x-4)

when you evaluate f(x) at x = 0?

Graph the parabola y = (x -2)(x - 4) and identify where the curve crosses the X -axis. How do these x-intercept values compare with the roots of your equation? What would the curve have to do if 0 was a root of your equation?

Your post makes no sense to me whatsoever. The OP understands that

\(\displaystyle a \text { is a root of } f(x) \iff f(a) = 0.\)

So to solve the problem all that is needed, once you remember that definition, is to determine whether it is true or false that

\(\displaystyle (0 - 2)(0 - 4) = 0\)

The problem revolves around