Algebra- GCF and Factoring Monomials Flashcard

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor the expression: 6m² + 16m

Back

2m(3m + 8)

Front

Factor out the GCF from: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is the GCF of 24x³ and 36x²?

Back

12x²

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor the expression: 80x⁵ - 70x² - 60x⁷

Back

10x²(8x³ - 7 - 6x⁵)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.