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.

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

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

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

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How can you verify that your factored expression is correct?

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