Review Polynomial Operations and Properties

Front

What is a polynomial written in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees. For example, 9x^3 + 8x^2 - 3x - 11 is in standard form.

Front

What is the result of multiplying (4a + 2)(6a^2 − a + 2)?

Back

The result is 24a^3 + 8a^2 + 6a + 4.

Front

What is a polynomial with ONE term called?

Back

A polynomial with one term is called a monomial.

Front

What is the sum of the polynomials (6n^2 - 7n^4 + 8) + (6 + 8n + 4n^4)?

Back

The sum is -3n^4 + 6n^2 + 8n + 14.

Front

What is the result of multiplying (4x + 1)(5x − 2)?

Back

The result is 20x^2 - 3x - 2.

Front

Define a binomial.

Back

A binomial is a polynomial that contains exactly two terms, such as 3x + 5.

Front

What is a trinomial?

Back

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

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you add polynomials?

Back

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

Front

What is the distributive property in polynomial multiplication?

Back

The distributive property states that a(b + c) = ab + ac, which is used to multiply polynomials.