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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.

Find the interval of \(v\) which satisfies the inequality \[(v+2)^2(v-4)(v-6)<0.\]

How many integer values of \(u\) satisfy \[u^4+u^3-12u^2<0?\]

**Clarification:** The graph intersects the \(x\)-axis at \(x=1\).

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