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What is integral zero?
The definite integral of any function identically equal to zero between any two points is zero. Integral is the area under the graph of the given function. Sometimes the terms "integral" or "indefinite integral" are used to refer to the general antiderivative of a function, especially in many textbooks. In this case, the indefinite integral is equal to an arbitrary constant, and it is important to distinguish between these two cases.
What do you mean by a function identically equal to zero?
A polynomial is identically equal to zero if and only if all of its coefficients are equal to zero. eg. The power series on the left is identically equal to zero, consequently all of its coefficients are equal to 0:
What non-exponential function is its own derivative?
The only non-exponential function that has this property would be a function that has the constant value of zero.
What is a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
How do you determine the x-intercepts of the polynomial function?
set the values of the y equal to zero
