What two numbers multiply to -32 and add up to -31?

Here we answer the question: "What two numbers multiply to -32 and add up to -31?"

The answer to your question is:

-32 and 1

Below we illustrate and prove that -32 and 1 multiply to -32 and add up to -31:

-32 × 1 = -32
-32 + 1 = -31

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

x² - 31x - 32 = 0

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

(x - 32 ) (x + 1)

To summarize, since -32 and 1 multiply to -32 and add up -31, you know that the following is true:

x² - 31x - 32 = (x - 32 ) (x + 1)

Multiply To One Number and Add Up To Another
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