Understanding Polynomial Vocabulary

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 leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree when the polynomial is expressed in standard form.

Front

What is the degree of a polynomial?

Back

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

Front

What is a constant in a polynomial?

Back

A constant in a polynomial is a term that does not contain any variables, represented by a numerical value.

Front

What is a relative maximum in a polynomial function?

Back

A relative maximum is a point on the graph of a polynomial function where the function changes from increasing to decreasing.

Front

What is a relative minimum in a polynomial function?

Back

A relative minimum is a point on the graph of a polynomial function where the function changes from decreasing to increasing.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a sum of terms in descending order of their degrees.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

What is the sum of the degrees of the terms in a polynomial?

Back

The sum of the degrees of the terms in a polynomial is not a standard concept; instead, each term's degree is considered individually.

Front

What is the product of two polynomials?

Back

The product of two polynomials is obtained by multiplying each term of the first polynomial by each term of the second polynomial.