Greatest Common Factor Polynomials

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers or expressions have in common.

Front

How do you find the GCF of 5x² and 20x?

Back

The GCF is 5x.

Front

What is the GCF of 6w³ and 14w?

Back

The GCF is 2w.

Front

Factor the expression: x² - 5x.

Back

x(x - 5) is the factored form.

Front

Factor the expression: 12x + 9.

Back

3(4x + 3) is the factored form.

Front

Factor the expression: 10x + 15.

Back

5(2x + 3) is the factored form.

Front

What is the first step in finding the GCF of two polynomials?

Back

Identify the coefficients and variables in each polynomial.

Front

What role do coefficients play in finding the GCF?

Back

Coefficients are the numerical factors that contribute to the GCF.

Front

How can you check if your factored expression is correct?

Back

By expanding the factored expression to see if it matches the original expression.

Front

What is the GCF of the coefficients 12 and 18?

Back

The GCF is 6.