How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the following example, (5 + (-7x2) + x), fit the definition of a polynomial?

What might a binomial and a trinomial be? Give an example of a polynomial of degree 3. Of degree 6.

Question

Mathematics

Fabian Wong

30 September, 20:25

How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the following example, (5 + (-7x2) + x), fit the definition of a polynomial?

What might a binomial and a trinomial be? Give an example of a polynomial of degree 3. Of degree 6.

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Answers (1)

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Ruby Harper · Answer 1

A polynomial is the sum of at least one term. For example, x^3+1 is a polynomial. A monomial is a polynomial with only one term, such as 2x^2. A binomial is a polynomial with two terms, and a trinomial is one with three terms. The example you gave is a trinomial (which is also a polynomial). Degree of a polynomial is the largest sum of variable powers in any term of the polynomial. So, for example, x^2 y has degree 3, and x^3+x^2 also has degree 3. A sixth degree polynomial would be x^6-2x+1, for example.

How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the following example, (5 + (-7x2) + x), fit the definition of a polynomial?What might a binomial and a trinomial be? Give an example of a polynomial of degree 3. Of degree 6.

How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the following example, (5 + (-7x2) + x), fit the definition of a polynomial?

What might a binomial and a trinomial be? Give an example of a polynomial of degree 3. Of degree 6.