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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:
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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 Is a constant function equal to zero?
No.
How do you determine the x-intercepts of the polynomial function?
set the values of the y equal to zero
What is a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
Why is the zero of a function the same as an x-intercept of a function?
when you have a function lets say y = mx + b then you set it equal to zero and solve you are finding the x values that give you a y value of zero and a y value of zero lies on the x-axis. therefore when you find a zero of a function it's really the x value of where the function touches or crosses the x axis. hope this helps
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.
Where does a function equal zero?
If you set a function equal to zero and solve for x, then you are finding where the function crosses the x-axis.
What Is a constant function equal to zero?
No.
What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
If a function is equal to zero when x is zero is the function considered defined at that point?
Yes. So long as the function has a value at the points in question, the function is considered defined.
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Is the sum of deviations from the mean equal to zero in symmetrical distributions?
It is equal to zero in ALL distributions.
Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
What does the sum of the deviations from the mean equal?
Zero.
What does it mean to say a system has a G equal to zero?
A system has a G equal to zero means it has reached equilibrium .
How do you find the minimum and maximum points of a function?
Set the first derivative of the function equal to zero, and solve for the variable.
