it is called a constant term.
With difficulty. Plot a graph of the polynomial and see where it crosses the x axis. If it does, then y=0 at that point, and (x-a) is a factor. Sometimes you might spot where the polynomial is zero just by trying various values.
6
Yes. A lot of hyperbolic functions have no y- intercept. Also functions of the form Y=1/x^n Will only go to positive infinity as it approaches zero from the positive x direction and go to negative infinity as it approaches zero from the negative x direction. * * * * * While all that is true, the functions mentioned in the above answer are not polynomial functions! All polynomial functions will have a y-intercept provided there is no additional restriction on the domain so as to exclude x = 0.
In a polynomial function, the variable x is raised to some integer power. f(x) = 5x³ + 8x⁵ g(x) = (x + 5)² In an exponential function, some real number is raised to the power of variable x or some function of x f(x) = 5ˣ g(x) = eˣ⁺²
It is called the property of "closure".
Yes.
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.
dsd
6+6=12 Boom polynomial
Distributive property of multiplication over addition, Commutativity of addition.
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.
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.
Yes they are closed under multiplication, addition, and subtraction.
A polynomial is a finite length expression constructed from variables and constants, using the operations of addition, subtraction, multiplication, and constant non-negative whole number exponent. Most people require that a polynomial consist of two or more monomials in which case the answer is NO!
A polynomial is a finite length expression constructed from variables and constants, using the operations of addition, subtraction, multiplication, and constant non-negative whole number exponent. Most people require that a polynomial consist of two or more monomials in which case the answer is NO!