Factoring 3-Factor out GCF - trickier

In this lesson, we learn how to factor out the greatest common factor (GCF) for more complicated problems. By finding the common factor in each term and pulling it out to the front, we can write the polynomial in factored form. The lesson also covers how to adjust the terms to make them opposites, allowing us to factor out the GCF. The examples provided can be tricky, but with practice, factoring out the GCF can become much easier.

This videos covers factoring out the GCF for more complicated problems.

• How do you factor polynomials by taking out the greatest common factor?
• How could you factor xy - 3y?
• How do you factor complicated expressions with large expressions in parentheses in common?
• How can you factor x(2x + 1) - 3(2x + 1)?
• How do you factor an expression when two terms have parentheses that are the same?
• How would you factor a(x-y) + b(x-y)?
• How do you factor 5x(3m - 1) - (3m - 1)?
• How would you factor x(a - b) + y(b - a)?
• How do you factor an expression if the terms inside the parentheses are different?
• How do you factor if the parentheses in the terms are opposites?
• How would you factor 3x(1 - 2y) - 5(2y - 1)?
• How do you factor 5x(2x - 3) - y(2x + 3)?
• What happens if you cannot factor a polynomial?
• What if two terms have nothing in common?
• When you have two terms with the same values in parentheses, how do you know what goes in the other set of parentheses in the answer?
• How do you factor 2y(-2x + 5) + 3(2x - 5)?