if a polynomial of a function has the x-intercepts of 0, −2, 1, and 7, which expression can represent this function?
To determine the expression that represents the given function, we can start by considering the x-intercepts provided: 0, -2, 1, and 7
To determine the expression that represents the given function, we can start by considering the x-intercepts provided: 0, -2, 1, and 7.
Since the x-intercepts are the values of x where the function equals zero, we can form the factors of the function using these values.
For the x-intercept 0, we have a factor of (x – 0) = x.
For the x-intercept -2, we have a factor of (x – (-2)) = (x + 2).
For the x-intercept 1, we have a factor of (x – 1).
And for the x-intercept 7, we have a factor of (x – 7).
To determine the expression, we need to multiply all these factors together. So the expression that represents the given function is:
f(x) = x * (x + 2) * (x – 1) * (x – 7).
This can be expanded further if required, but this expression encompasses all the provided x-intercepts.
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