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Algebra II Final Exam Topics for 2013 Polynomials Section 6.4 – Division of Polynomials (using Long Division) Section 6.5 – Division of Polynomials (using Synthetic Division) Section 11.2 – Remainder Theorem Factoring Section 5.4 – Factor by GCF, Grouping and Difference of Squares Section 5.5 – Factor Trinomials using Product/Sum Chart Section 5.6 – Mixed Factoring Solve Quadratic Equations Section 5.7 – Solve Polynomial Equations by Factoring Sections 5.8, 8.2 & 8.6 – Word Problems that involve Quadratic Equations Section 8.1 – Solve Quadratic Equations using Square Roots and by Completing the Square Section 8.3 – Solve Quadratic Equations using the Quadratic Formula Graph Quadratic Equations (Parabolas) Sections 9.4, 9.6 & 9.7 – Graph Quadratic Functions in Standard Form Must be able to find and label the following: axis of symmetry, vertex, maximum and minimum, x-intercepts and y-intercept Section 9.5 – Graph Quadratic Functions in Vertex Form (axis of symmetry, vertex) Write a Quadratic Equation given the vertex and a point on the graph Rewrite an equation in vertex form from standard form and vice versa Section 9.8 – Word problems that involve maximum and minimum Section 8.4 – Discriminant, # of Solutions (x-intercepts/roots/zeros) of Quadratic Equations Rational Expressions and Equations Section 6.1 – Simplify, Multiply and Divide Rational Expressions (and state restrictions for each) Section 6.2 – Add and Subtract Rational Expressions Section 6.3 – Simplify Complex Fractions Section 6.6 – Solve Rational Equations Radical Expressions Section 7.1 – Simplify Radical Expressions with nth roots (use absolute value bars when necessary) Section 7.2 – Simplify and Multiply Radical Expressions Section 7.3 – Divide, Add and Subtract Radical Expressions Section 7.4 – Multiply using Double Distribution (FOIL) and Divide by Rationalizing the Denominator and use Conjugates when necessary Section 7.6 – Solve Radical Equations and check for extraneous solutions Rational Exponents Section 7.5 – Rational Numbers as Exponents Rewrite radical expressions using rational exponents and vice versa Simplify expressions with Rational Exponents Section 7.6 – Solve equations that involve rational exponents Complex Numbers Section 7.7 – Imaginary and Complex Numbers (Add, Subtract and Multiply) Section 7.9 – Multiply Complex Numbers using Double Distribution (FOIL) and Divide Complex Numbers using Conjugates Section 8.3 a.k.a. 7.10 – Solve Quadratic Equations that have complex solutions Chapter 17 – Trigonometry Include – Pythagorean Theorem Include – Special Right Triangles ( 45o ,45o ,90o ) and ( 30o ,60o ,90o ) Section 17.1 – Right Triangles and the 6 Trigonometric Ratios Section 18.6 – Find the missing side of a right triangle using SOH CAH TOA Find the missing angle of a right triangle using inverse trig. functions Use angle of elevation/depression to solve word problems Chapter 12 – Exponential and Logarithmic Functions Section 12.1 – Inverse Relations and Functions Section 12.2 – Graph Exponential and Logarithmic Functions Section 12.3 – Convert exponential equations to logarithmic equations and vice versa Solve logarithmic equations How to prepare for the exam: 1. Do the review packet and check your answers. Correct your mistakes and ask for help if necessary. 2. Re-do some of the problems from old quizzes and tests. 3. Try the odd problems in your textbook from the sections above. 4. Read over your notes and create index cards. 5. Ask questions during the review session in class or during extra help. “Math is not a spectator sport.” You must PRACTICE, PRACTICE, PRACTICE!!!