Classifying, Adding, Subtracting, 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 are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 3x^3 + 2x^2 - x + 5, the degree is 3.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x^2 or -3.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 2 or 3x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

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 process of adding polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Tags

CCSS.HSA.APR.A.1

Front

What is the process of subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable part, such as 5 or -8.