No.
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
A polynomial has 2 or more variables. It can also have a negative exponent and a fractional exponent. It's different from a monomial.****BrandonW****
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
Clouser
That property is called CLOSURE.
Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.
To get a quotient and a remainder, you would need to do a division, not a multiplication.
An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.
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.
Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.
Yes they are closed under multiplication, addition, and subtraction.
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.
To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7
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!