What two numbers multiply to 30 and add up to 31?

Here we answer the question: "What two numbers multiply to 30 and add up to 31?"

The answer to your question is:

1 and 30

Below we illustrate and prove that 1 and 30 multiply to 30 and add up to 31:

1 × 30 = 30
1 + 30 = 31

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

x² + 31x + 30 = 0

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

(x + 1 ) (x + 30)

To summarize, since 1 and 30 multiply to 30 and add up 31, you know that the following is true:

x² + 31x + 30 = (x + 1 ) (x + 30)

Multiply To One Number and Add Up To Another
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