What two numbers multiply to -872 and add up to -214?

Here we answer the question: "What two numbers multiply to -872 and add up to -214?"

The answer to your question is:

-218 and 4

Below we illustrate and prove that -218 and 4 multiply to -872 and add up to -214:

-218 × 4 = -872
-218 + 4 = -214

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 214x - 872 = 0

If so, the solution to factor the quadratic equation above is:

(x - 218 ) (x + 4)

To summarize, since -218 and 4 multiply to -872 and add up -214, you know that the following is true:

x² - 214x - 872 = (x - 218 ) (x + 4)

Multiply To One Number and Add Up To Another
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