# Assorted Algebra - Inequalities, Remainders, Signs etc.

Please find my algebra questions in the file attached. They are mostly on inequalities, remainder theorem and Descartes' rule of signs among other topics.

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#### Solution Preview

1. Solve for the following inequality (x-4)(x-5)(x-6)>0

The solution set __(negative infinitiy, 4) and (5,6)___ (interval notation)

2. Use the remainder theorem to find the theorem to find the remainder when f(x) is divided by x-1. Then use the factor theorem to determine whether x-1 is a factor of f(x). f(x)=2x3+2x2-9x+6

Remainder is___1 because by reminder theorem, the remainder is f(1) which is 1__

3. Use the remainder theorem to find ...

#### Solution Summary

The solution gives detailed steps on calculating various algebra problems: inequalities, remainder theorem and Descartes' rule of signs. All formula and calculations are shown and explained.