Adding, Subtracting, and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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 degree, from highest to lowest.

Front

How do you add polynomials?

Back

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

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Tags

CCSS.HSA.APR.A.1

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

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms.

Front

What is the product of (a + b)(a - b)?

Back

The product is a² - b², known as the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms.

Tags

CCSS.6.EE.A.3

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property or the FOIL method for binomials.

Tags

CCSS.HSA.APR.A.1