Algebra 1: Review of Polynomials Operations

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

How do you add polynomials?

Back

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

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

Simplify: 9n^3 + 4n - 2n^3

Back

7n^3 + 4n.

Front

Multiply using the distributive property: 4a(5a^2 - a + 4)

Back

20a^3 - 4a^2 + 16a.

Front

What are like terms?

Back

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

Front

How do you multiply polynomials?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

Multiply: (3x + 1)(2x + 5)

Back

6x^2 + 17x + 5.