Algebra
# Polynomial Inequalities

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

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

The graph above is a quadratic function, \(y =x^2+kx-2\) for some constant \(k\). What is the solution to the quadratic inequality \(x^2 + kx-2 < 0 \)?

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

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