podcast

Ms. Chan explains how to factor quadratic expressions using the greatest common factor (GCS). She gives the example of 6x squared plus 9x and breaks down the steps to simplify it. Step one is to identify the quadratic expression, which has two terms. Step two is to find the GCS, which is 3 in this case. Step three is to factor out the GCS from each term using division and keep what is left inside parentheses. In this example, it becomes 3x (2x plus 3). There are no common factors left inside the parentheses, so we're done. If there are any questions, Ms. Chan can be contacted by email. Good morning, class. This is Ms. Chan. Today, we're going to explore factoring quadratic expressions through the greatest common factor, or GCS. So gather around as we dive into this algebraic adventure. Imagine you have a quadratic expression like 6x squared plus 9x, and our mission is to simplify it. How do we go about that? Well, step one, identify your quadratic expression. There are two terms. Step two, find the GCS. In our case, the GCS of 6 and 9 is 3, and each term has at least one variable, which is x. Step three, factor out the GCS from each term through division and keep what is left over inside the parentheses. That gives us 3x parentheses 2x plus 3 parentheses. Now, no common factors left inside the parentheses this time. So, we're done. If you have any questions, feel free to email me and see you next time.