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Function machine x^2 + 2x + 1If 1 is the output for Carmichael’s function machine shown at right, how can you determine what number is dropped in? Calculate the number(s) that could have been dropped in. Homework Help ✎

Since 1 is the output, set the expression inside of the function machine equal to 1.

x2 + 2x + 1 = 1

x2 + 2x = 0

x(x + 2) = 0

Use the Zero Product Property: x = 0, x = −2