Factoring Polynomials: GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two monomials?

Back

1. List the factors of each monomial. 2. Identify the common factors. 3. Multiply the common factors to find the GCF.

Front

Factor the expression: 5ab²c¹¹ + 2bc⁵

Back

bc⁵(5abc⁶ + 2)

Front

What is the first step in factoring polynomials using GCF?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression: 3x³ + 9x² - 15x

Back

3x(x² + 3x - 5)

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means to express it as a product of its factors.

Front

Factor the expression: 8r³ + 16r²

Back

8r²(r + 2)

Front

What is the GCF of 8n³ and 2n²?

Back

2n²

Front

Factor the expression: 2n² + 16n + 12

Back

2(n² + 8n + 6)

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials helps simplify expressions and solve equations.