Classifying Polynomials & Operations

Front

Define a monomial.

Back

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

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 2x + 1.

Front

Define a polynomial.

Back

A polynomial is an expression that consists of variables and coefficients, combined using addition, subtraction, and multiplication, such as 4x^3 - 2x + 7.

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

Classify the polynomial 5x^4 - 3x^2 + 2.

Back

This polynomial is a quartic polynomial because its degree is 4.

Front

Multiply: (x + 2)(x + 3).

Back

x^2 + 5x + 6.

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

Write the polynomial 4 + 3x^2 + 2x in standard form.

Back

3x^2 + 2x + 4.

Front

Add the polynomials: (2x^2 + 3x) + (4x^2 - x).

Back

6x^2 + 2x.