Unit 4 Test Review - Polynomials and Factoring

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 polynomial.

Front

How do you find the GCF (Greatest Common Factor) of a polynomial?

Back

To find the GCF of a polynomial, identify the largest factor that divides all the terms of the polynomial.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce the expression to its simplest form.

Front

What are like terms in a polynomial?

Back

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

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is the process for factoring a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which can include numbers, variables, or other polynomials.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

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 each term in a sum.

Front

How do you simplify the expression 2x(-2x - 3)?

Back

Distribute 2x to both terms: 2x * -2x = -4x^2 and 2x * -3 = -6x, resulting in -4x^2 - 6x.