Classifying, Adding, Subtracting, and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, 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 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

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 difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is the result of adding (3x^2 + 2x) and (4x^2 - x)?

Back

The result is 7x^2 + x.

Front

What is the result of subtracting (5x^3 - 2x + 1) from (2x^3 + 3x^2 + 4)?

Back

The result is -3x^3 + 3x^2 + 3.

Front

What is the product of (x + 2) and (x - 3)?

Back

The product is x^2 - x - 6.