How to factor a quadratic in your head when a=1

The video tutorial explains how to factor a quadratic expression by identifying two numbers that multiply to a given product and add to a specific sum. The instructor demonstrates the process of determining these numbers, emphasizing the need for both factors to be negative in this case. The tutorial concludes with a verification step, ensuring the factored form is correct by multiplying it back out.

Explain why both factors must be negative in the context of the problem.

What two numbers multiply to give 28 and add to give -11?

What is the factored form of the quadratic expression derived from the numbers found?

What method did the teacher mention for checking the work done on the quadratic expression?

How can you verify that your factored expression is correct?