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

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Presentation transcript:

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

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

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.

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

Rules for Inequalities:

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

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.

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

Ex 4: Solve the inequality.

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