What two numbers multiply to 112 and add up to 32?

Here we answer the question: "What two numbers multiply to 112 and add up to 32?"

The answer to your question is:

4 and 28

Below we illustrate and prove that 4 and 28 multiply to 112 and add up to 32:

4 × 28 = 112
4 + 28 = 32

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

x² + 32x + 112 = 0

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

(x + 4 ) (x + 28)

To summarize, since 4 and 28 multiply to 112 and add up 32, you know that the following is true:

x² + 32x + 112 = (x + 4 ) (x + 28)

Multiply To One Number and Add Up To Another
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