Operations with Polynomials and Expressions

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of only one term, such as 5x^2 or -3.

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms, such as 3x + 4 or 5y - 2.

Front

What is a trinomial?

Back

A trinomial is an algebraic expression that consists of three terms, such as x^2 + 3x + 2.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of one or more terms, such as 4x^3 - 2x + 7.

Front

How do you classify the expression 3x^3 - 6x?

Back

It is classified as a binomial because it has two terms.

Front

What is the difference of squares?

Back

The difference of squares is a factoring method used for expressions of the form a^2 - b^2, which factors into (a + b)(a - b).

Front

What is the first step in adding polynomials?

Back

Combine like terms by adding the coefficients of the same variable.

Front

What is the first step in subtracting polynomials?

Back

Distribute the negative sign to the terms of the polynomial being subtracted, then combine like terms.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)^2 is equal to a^2 + 2ab + b^2.

Front

Complete the operation: (5x + 5) + (3x - 2)

Back

8x + 3.