1. Polynomial Equations
The Zero-product property is very useful in solving polynomial equations if they can be factored.
Ex 1: Solve.
Ex 2: Solve.

2. To solve radical equations, eliminate the radical
To solve radical equations, eliminate the radical by raising both sides to a power.
Ex 3: Solve.

3. To solve an equation with quadratic form,
To solve an equation with quadratic form, substitute and solve the quadratic. Then substitute again to solve the original equation.
Ex 4: Solve.
Ex 5: Solve.

4. Inequalities
To solve an inequality means to find all of the values of the variable that make the inequality true.

5. Rules for Inequalities:

6. Ex 1: Solve the inequality.
Ex 2: Solve the compound inequality.

7. If a product or quotient has an even. number of negative factors, then
If a product or quotient has an even number of negative factors, then its value is positive.
If a product or quotient has an odd number of negative factors, then its value is negative.

8. Ex 3: Solve the inequality.
You can use a graph or test points to determine the correct region.
Guidelines for nonlinear inequalities:
1. Move all terms to one side
2. Factor
3. Determine the intervals
4. Make a table or diagram
5. Solve

9. Ex 4: Solve the inequality.

10. Assignment (#10) S 1.5/1.6:
pg 122
#5,6,12,13,16,32,33,34,41,42,43
pg 132
#10-12,28,34,44,48,57,58