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

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 degrees.

Front

What does GCF stand for in polynomials?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms of a polynomial.

Front

How do you find the GCF of a polynomial?

Back

To find the GCF of a polynomial, identify the common factors of all the terms and select the highest degree of each variable.

Front

What is factoring in the context of polynomials?

Back

Factoring is the process of breaking down a polynomial into simpler polynomials that, when multiplied together, give the original polynomial.

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 FOIL method used for?

Back

The FOIL method is used for multiplying two binomials and stands for First, Outside, Inside, Last, referring to the order of multiplication.

Front

What is the result of multiplying (x + 3)(x^2 + 4x + 7)?

Back

The result is x^3 + 7x^2 + 19x + 21.

Front

How do you simplify the expression (-10a^4 - 7a^2 + 11) - (9 + 10a^2 - 5a^4)?

Back

Combine like terms to get -5a^4 - 17a^2 + 2.