What two numbers multiply to -140 and add up to -31?

Here we answer the question: "What two numbers multiply to -140 and add up to -31?"

The answer to your question is:

-35 and 4

Below we illustrate and prove that -35 and 4 multiply to -140 and add up to -31:

-35 × 4 = -140
-35 + 4 = -31

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

x² - 31x - 140 = 0

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

(x - 35 ) (x + 4)

To summarize, since -35 and 4 multiply to -140 and add up -31, you know that the following is true:

x² - 31x - 140 = (x - 35 ) (x + 4)

Multiply To One Number and Add Up To Another
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