Factoring Polynomials Using Greatest Common Factor

Front

What is the GCF of 10a²b³ and 20a²b²?

Back

10a²b²

Front

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

Back

The largest combination of constants and variables you can 'pull out' of a polynomial.

Front

Why do we need to find the GCF of polynomials?

Back

To simplify the polynomials as much as possible before working with them.

Front

What are the factors of 25?

Back

1, 5, 25

Front

Determine the greatest common factor of -5j³k⁷m² and -20jk²m⁵.

Back

-5jk²m²

Front

What is the definition of the Greatest Common Factor (GCF)?

Back

The largest factor that divides two or more numbers or expressions.

Front

How do you find the GCF of two monomials?

Back

Identify the common factors in the coefficients and the variables, then multiply them.

Front

What is the GCF of 12x²y and 18xy²?

Back

6xy

Front

If the GCF of two numbers is 1, what does that indicate about the numbers?

Back

The numbers are coprime (they have no common factors other than 1).

Front

What is the GCF of 15a²b and 25ab²?

Back

5ab