When does revenue exceed cost? When will one race car pass another? Model these values with polynomials and use polynomial inequalities to solve questions like these and more.

If \(x+y=20\), what is the maximum value of \(2xy\)?

Which is larger?

**Hint:** Let \( x = 2 ^ {2015} \).

What is the maximum value of \(x\) that satisfies the inequality \( (x - 6)(x^2 - 4x + 9) \leq 0 \)?

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