Algebra 1: Polynomials and Exponent Flashcard Review Thursday

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 degree of a polynomial?

Back

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

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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 a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.

Front

What is a term in a polynomial?

Back

A term in a polynomial is a single mathematical expression that can be a constant, a variable, or a product of constants and variables.

Front

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

Back

The result is 20x² - 3x - 2.

Front

What is the result of finding the difference (7p + 4p³ - 8) - (-3p² + 2 - 9p)?

Back

The result is 4p³ - 3p² + 16p - 10.