GCF & Factoring

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you factor a polynomial?

Back

To factor a polynomial, find the GCF of the terms, then express the polynomial as a product of the GCF and the remaining polynomial.

Front

Factor Completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

What is the GCF of 12t³, 30t², and 48t?

Back

6t

Front

Factor: 18a² - 15a

Back

3a(6a - 5)

Front

Factor: 12x + 9

Back

3(4x + 3)

Front

What is the relationship between GCF and factoring?

Back

The GCF is often used as the first step in factoring polynomials, allowing for simplification.

Front

Fill in the missing quantity: 5x(____) = 25x³

Back

5x²

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means breaking it down into irreducible factors over the integers.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.