This video shows you how to methodically find 2 numbers with a given sum and product. This could be useful when factoring quadratic trinomials into the produce ot 2 binomials. So this video is preparation for that, which begins in Factoring Part 6.
How do you find two numbers with a given product and sum?
How can you find two numbers whose product is 40 and sum is 13?
How can you figure out what two numbers multiply to 40 and add to 13?
What is a systematic, easy way to find two integers that multiply to a given product and add to a given sum?
What are the two numbers that multiply to 72 and add to -22?
How can you figure out whether factors should be negative or positive when you need to find numbers with a given product and a given sum?
How can you figure out the two numbers that multiply to -12 and add to 4?
What two integers multiply to -70 and add to -9?
How does the problem change if you want to multiply to positive 70 and add to -9?
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This lesson covers a fundamental concept necessary for factoring trinomials -- finding two integers that multiply to a given product and add to a given sum. Several varying examples are shown and explained very well.