0
What else can I help you with?
The exponents in the terms of a polynomial must be?
why the exponents can not be negative
What is the difference between power and polynomial function?
A power function is a specific type of mathematical function defined by the form ( f(x) = kx^n ), where ( k ) is a constant and ( n ) is a real number. In contrast, a polynomial function is a more general type of function that can be expressed as a sum of power functions with non-negative integer exponents, typically written as ( f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0 ). Thus, while all power functions are polynomial functions (when ( n ) is a non-negative integer), not all polynomial functions are power functions, as they can contain multiple terms with different powers.
Why monomial is not polynomial?
In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.
How a like polynomial and non-polynomial?
A polynomial is an expression made up of variables raised to non-negative integer exponents, combined using addition, subtraction, and multiplication, such as ( f(x) = 2x^3 - 4x + 7 ). In contrast, a non-polynomial can include variables raised to negative exponents, fractional exponents, or involve operations like division by a variable, such as ( g(x) = \frac{1}{x} ) or ( h(x) = x^{1/2} ). Polynomials exhibit smooth behavior and can be graphed as continuous curves, while non-polynomials may have discontinuities or asymptotic behavior.
What is A number or a product of numbers and variables with whole-number exponents or a polynomial with one term?
Polynomial
The exponents in the terms of a polynomial must be?
why the exponents can not be negative
When can you say that the term is a term of polynomials?
If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial. If a term consists of one or more of: a numerical coefficientnon-negative integer exponents of variable(s),then it is a term of a polynomial.
Y plus 23 a polynomial?
Yes, it is since it is a finite sum and the terms all have non-negative exponents.
What is the difference between power and polynomial function?
A power function is a specific type of mathematical function defined by the form ( f(x) = kx^n ), where ( k ) is a constant and ( n ) is a real number. In contrast, a polynomial function is a more general type of function that can be expressed as a sum of power functions with non-negative integer exponents, typically written as ( f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0 ). Thus, while all power functions are polynomial functions (when ( n ) is a non-negative integer), not all polynomial functions are power functions, as they can contain multiple terms with different powers.
Why monomial is not polynomial?
In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.
Can a constant be considered a polynomial?
No, a constant cannot be considered a polynomial because it is only a single term. A polynomial is defined as an expression that consists of the variables and coefficients that involves only the operations of subtraction, addition, multiplication, and the non-negative integer exponents.
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.
What is A number or a product of numbers and variables with whole-number exponents or a polynomial with one term?
Polynomial
Why do you think the definition for polynomials is so restrictive?
The definition for polynomials is very restrictive. This is because it will give more information. It excludes radicals, negative exponents, and fractional exponents. When these are included, the expression becomes rational and not polynomial.
What is The sum of the exponents on the variables in a term?
Degree of a Polynomial
The degree of a polynomial is the what exponent?
highest total of the exponents
What does it mean if a function is a polynomial?
It means that it has constants and variables that has a form of something like 7x2+2x+5 or something like that. Variables can not be used as exponents though, and exponents have to be whole numbers. Also, variables can not be a denominator.
