Intro to 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

How do you classify polynomials by the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), or trinomials (3 terms), and polynomials with more than three terms are simply called polynomials.

Front

What is the degree of a polynomial?

Back

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

Front

How do you rewrite a polynomial in standard form?

Back

To rewrite a polynomial in standard form, arrange the terms in descending order of their degrees.

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 determine the degree of a polynomial with multiple terms?

Back

Identify the term with the highest exponent; that exponent represents the degree of the polynomial.

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

What is the difference between a polynomial and a non-polynomial expression?

Back

A polynomial consists of terms with non-negative integer exponents, while non-polynomial expressions may include negative exponents, fractional exponents, or variables in the denominator.