Factoring a GCF out of a Polynomial

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 numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the polynomial: 8r^3 + 16r^2

Back

8r^2(r + 2)

Front

What is the first step in factoring a polynomial using the GCF method?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the polynomial: 12x^2y^4 - 6xy

Back

6xy(2xy^3 - 1)

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means to express it as a product of its factors, which can be numbers, variables, or other polynomials.

Front

Which of the following is a common factor of 12x and 27?

Back

3

Front

Factor the polynomial: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly.

Front

True or False: 1 is a factor of every number.

Back

True