addition of coefficient
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.
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6+6=12 Boom polynomial
Distributive property of multiplication over addition, Commutativity of addition.
A number and a variable multiplied together, separated by addition and subtraction, is called a polynomial. In a polynomial, the variables can have non-negative integer exponents, and the coefficients can be any real numbers. For example, (3x^2 + 4x - 5) is a 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.
Yes, (6xy) is a polynomial. A polynomial is defined as an expression consisting of variables raised to non-negative integer powers and combined using addition, subtraction, and multiplication. In this case, (6xy) is a product of constants and variables, both of which are raised to the first power, fitting the criteria for 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.