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# Polynomial Inequalities

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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