Classifying, Adding, Subtracting, and Multiplying 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 leading coefficient of a polynomial?

Back

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

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is determined by the highest exponent 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 based on the number of terms?

Back

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

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the sum of two polynomials?

Back

The sum of two polynomials is obtained by adding their corresponding coefficients for like terms.

Front

What is the difference between two polynomials?

Back

The difference between two polynomials is obtained by subtracting the coefficients of like terms.