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Actually, it is easier to define a polynomial as a function of a variable, x, in the form:
p(x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0 where n is an integer and the ai are constants. A non-polynomial, then, is any function of x which contains one or more terms in x which are not in the form akxk.
What else can I help you with?
What is the definition for the zero of a polynomial function?
The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.
What is the difference between polynomial and non polynomial?
A polynomial is a sum of monomials - and each monomial may only contain non-negative integer powers of the variables involved. If any other operation is involved (for example, a negative or fractional exponent; equivalent to a variable in the denominator, or a root), you have a non-polynomial.
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
In mathematical definition transcendental means?
Basically, a number is transcendental if it isn't the solution of a polynomial equation. An example would be PI.
When is a function considered polynomial function?
A polynomial function of a variable,x, can be written as a sum of non-negative integer powers of x. For example, f(x) = 5x5 + 27x2 - 37/3 x + 2.36.
Is x to the power of -2 a polynomial?
No. By the definition of a polynomial, the powers can only be non-negative integers.
What is the difference between polynomial and non polynomial time complexity?
Polynomial vs non polynomial time complexity
Is y3 a polynomial?
Yes, ( y^3 ) is a polynomial. A polynomial is defined as a mathematical expression that consists of variables raised to non-negative integer powers, along with coefficients. In this case, ( y^3 ) has a single variable ( y ) raised to the power of 3, which is a non-negative integer. Thus, it fits the definition of a polynomial.
How alike the polynomial and non polynomial?
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
How alike the polynomials and non polynomials?
how alike the polynomial and non polynomial
Is 4x plus 3y-2z a polynomial?
See definition of polynomial and monomials. You will see.
What is the definition for the zero of a polynomial function?
The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.
What is non polynomial - algebraic expressions?
what is non polynomials
What is the different of polynomial and non-polynomial?
Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.
Choose the definition of trinomial?
a polynomial with three terms
Choose the definition of binomial?
a polynomial with two terms
What are Similarities of polynomial and non polynomial?
None, except that they are functions of one or more variables.
