Operations with Polynomials Review

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 does it mean to simplify a polynomial?

Back

Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form.

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

How do you add polynomials?

Back

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

Front

How do you subtract polynomials?

Back

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

Front

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

Back

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

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 a sum.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of multiplying (5x - 3)(5x + 3)?

Back

The result is 25x² - 9.