Algebra 2 - Polynomial Operations Review

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. For example, 2x^2 + 3x + 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 + 7, the degree is 3.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. For example, (2x^8 - 8x^2 - 28x) ÷ 2x = x^7 - 4x - 14.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms. For example, 3x + 4 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms. For example, x^2 + 5x + 6 is a trinomial.

Front

What is the sum of two polynomials?

Back

The sum of two polynomials is found by adding the coefficients of like terms. For example, (2x + 3) + (4x + 5) = 6x + 8.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method. For example, (x + 2)(x + 3) = x^2 + 5x + 6.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have one or more terms. For example, 5x is a monomial, while 5x + 3 is a polynomial.

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. For example, 4x^3 + 2x^2 + x + 5 is in standard form.

Front

How do you classify polynomials?

Back

Polynomials can be classified by the number of terms (monomial, binomial, trinomial) or by their degree (linear, quadratic, cubic, etc.).