Factoring GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides all the terms in a polynomial without leaving a remainder.

Front

How do you find the GCF of 12, 18, and 24?

Back

The GCF is 6, as it is the largest number that divides all three numbers.

Front

Factor the expression: 12j²k³ - 20hj

Back

4j(3jk³ - 5h)

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression: 5(c + 2)⁶ - 10(c + 2)⁴

Back

5(c + 2)⁴((c+2)² - 2)

Front

What does it mean to 'undistribute' a polynomial?

Back

To 'undistribute' means to factor out the common terms from a polynomial.

Front

Factor the expression: -10xy⁹z + 8y³z⁵

Back

2y³z(-5xy⁶ + 4z⁴)

Front

What is the GCF of the terms -24m³n⁵p, 24mn⁴p², and 4mn⁵?

Back

4mn⁴

Front

Factor the expression: -84x⁴ + 72xy² + 12xy

Back

12x(-7x³ + 6y² + y)

Front

What is the significance of factoring in algebra?

Back

Factoring simplifies expressions and helps solve equations more easily.