Factoring by GCF of Polynomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

1. List the factors of each number. 2. Identify the common factors. 3. The largest of these common factors is the GCF.

Front

Find the GCF of 64 and 144.

Back

16

Front

What is the GCF of 18k and 15k^3?

Back

3k

Front

What is the GCF of 10a^2b^3 and 20a^2b^2?

Back

10a^2b^2

Front

Factor the polynomial: 80x^5 - 70x^2 - 60x^7.

Back

10x^2(8x^3 - 7 - 6x^5).

Front

Factor the expression: -10xy^9z + 8y^3z^5.

Back

2y^3z(-5xy^6 + 4z^4).

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all terms in the polynomial.

Front

Why is factoring by GCF important?

Back

It simplifies expressions and makes it easier to solve equations or further factor polynomials.

Front

What does it mean to factor a polynomial?

Back

To express the polynomial as a product of its factors.