Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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 expression.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the process of multiplying polynomials called?

Back

The process of multiplying polynomials is called polynomial multiplication.

Front

What is the distributive property in the context of polynomials?

Back

The distributive property states that a(b + c) = ab + ac, which is used to multiply a term by each term in a polynomial.

Front

What is the result of multiplying (a + b)(c + d)?

Back

The result is ac + ad + bc + bd, which is obtained by applying the distributive property.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of exactly three terms.

Front

How do you simplify the expression (4x - 2x^3) + (5x^3 - 4x + 5)?

Back

Combine like terms to get 3x^3 + 5.