Distribute... You have to make sure you multiply each term by each term and the only way is to distribute. don't really know of any other way. Remember to add all of the like terms first so you dont have to do extra work.
No.
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
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****
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
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.
The title of a picture depicting the multiplication of polynomials could be "Visualizing Polynomial Multiplication." This title reflects the mathematical concept being illustrated, emphasizing the process of combining polynomial expressions through multiplication. The image may include visual aids, such as grids or area models, to enhance understanding of how polynomials interact.
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.
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.