Classifying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you classify polynomials by the number of terms?

Back

Polynomials can be classified as monomial (1 term), binomial (2 terms), trinomial (3 terms), or polynomial with more than three terms.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Front

How do you determine the leading term of a polynomial?

Back

The leading term is the term with the highest degree in the polynomial.

Front

What does it mean if a polynomial has a positive leading coefficient?

Back

If a polynomial has a positive leading coefficient, it means that as the variable approaches positive infinity, the polynomial's value also approaches positive infinity.

Front

What does it mean if a polynomial has a negative leading coefficient?

Back

If a polynomial has a negative leading coefficient, it means that as the variable approaches positive infinity, the polynomial's value approaches negative infinity.