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:

-4 and 218

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

-4 × 218 = -872
-4 + 218 = 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 - 4 ) (x + 218)

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

x² + 214x - 872 = (x - 4 ) (x + 218)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.