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If the original polynomial represents a position as a function of time, differentiating once will give you the speed, differentiating once more, acceleration. Differentiating a third time will give you the rate of change of acceleration; this is sometimes used, though not very frequently.
One application where different functions are differentiated not just three times, but an arbitrary number of times, is to evaluate the function value, using Taylor's method.
What else can I help you with?
Is 4 multiply 3 times X plus 5 times X times 6 a polynomial?
No. It simplifies to a monomial.
A quadratic polynomial is a third-degree polynomial?
No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).
What is a polynomial of 3 items?
An example of a polynomial with 3 terms is 3x3 + 4x + 20, because there are 3 different degrees of x in the polynomial.
Is -3 polynomial?
Yes! Also, 0 is a polynomial.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
Is a polynomial with square root a polynomial?
It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.
Which best describes a root of a polynomial?
A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.
What is the smallest degree a polynomial can have?
The smallest is 0: the polynomial p(x) = 3, for example.
The largest exponent which is shown in a polynomial.?
The largest exponent in a polynomial is referred to as the polynomial's degree. It indicates the highest power of the variable in the expression. For example, in the polynomial (4x^3 + 2x^2 - x + 5), the degree is 3, as the term (4x^3) has the highest exponent. The degree of a polynomial provides insight into its behavior and the number of possible roots.
What is the Best Describes The Relationship Between (x - 2) And The Polynomial 2x3 plus X2 - 3?
To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
What kind of polynomial is -3-4?
The expression (-3 - 4) simplifies to (-7), which is a constant. A constant can be considered a polynomial of degree 0, as it does not contain any variables. Therefore, (-3 - 4) represents a polynomial of degree 0.
