Review for Flashcard: Factoring and Polynomial Operations

Front

What is the process of 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 Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor the expression 6x² - 9x?

Back

You can factor it by taking out the GCF, which is 3x, resulting in 3x(2x - 3).

Front

What is the difference between two polynomials?

Back

The difference is found by subtracting the corresponding coefficients of like terms in the polynomials.

Front

How do you simplify the expression -3x²(7x² - x + 4)?

Back

Distribute -3x² to each term inside the parentheses, resulting in -21x⁴ + 3x³ - 12x².

Front

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

Back

The result is 2x² + 3x - 2, found by using the distributive property (FOIL method).

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, including factoring out the GCF and any remaining polynomial factors.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to non-negative integer powers and coefficients.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from highest to lowest.

Front

How do you find the GCF of 18x² and 50?

Back

The GCF of 18 and 50 is 2, and since there are no common variables, the GCF is 2.