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2a 5b is a polynomial of two terms in two variables a and b.
Is a binomial a polynomial math. Polynomial a monomial or two or more monomials combined by addition or subtraction is a polynomial. Trinomial a polynomial with exactly three terms is called a trinomial. Polynomials can have no variable at all. A polynomial is an algebraic expression that has one two or more terms.
A binomial is a polynomial with two terms being summed. There is also quadrinomial 4 terms and quintinomial 5 terms but those names are not often used. 2 x 1 2x 2. There are special names for polynomials with 1 2 or 3 terms.
How do you remember the names. A monomial has only 1 term a binomial has 2 terms and a trinomial has 3 terms. For all expressions below look for all expressions that are polynomials. Below are some examples of what constitutes a binomial.
3y 4 2y 3 7y 2 9y 3 5 is a polynomial of five terms in two variables x and y. Polynomials with one term will be called a monomial and could look like 7x a polynomial with two terms is called a binomial. Monomial a polynomial with exactly one term is called a monomial. Binomial a polynomial with exactly two terms is called a binomial.
For those that are polynomials state whether the polynomial is a monomial a binomial or a trinomial. 4x 2 1 frac13 x 5 5x 3. 1 3 4 3 4x 2 z 2 5z 1 6 3 8 4 2c 2 5b 6 5 14 x 6 5x 2 1 7 4 b 2 2 b 2 8 f 2 5f 6. 3xy 5x 1 is a polynomial of three terms in two variables x and y.
Polynomials can be further specified as monomials binomials and trinomials the prefixes refer to the number of terms in the polynomial.
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