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Practice adding, subtracting, multiplying polynomials and polynomial long division
Use synthetic division and apply the Remainder and Factor Theorems
Find rational zeros, apply Descartes Rule of Signs, and analyze end behavior
Factor sum/difference of cubes, factor by grouping, and fully factor degree-3 and degree-4 polynomials
Factor and simplify rational expressions, identify restrictions on the domain
Multiply and divide rational expressions by factoring and canceling common factors
Find LCD and add or subtract rational expressions with unlike denominators
Solve rational equations and identify extraneous solutions
Find vertical, horizontal, and oblique asymptotes and sketch rational function graphs
Model and solve exponential growth and decay problems including half-life and compound interest
Apply product, quotient, and power rules to expand and condense logarithmic expressions
Solve equations involving exponential and logarithmic expressions using properties and change of base
Graph transformations of exponential and logarithmic functions, identify asymptotes and key features
Find terms, common differences, and sums of arithmetic sequences and series
Find terms, common ratios, and sums of finite and infinite geometric series
Evaluate sums written in sigma notation and convert between sigma and expanded form
Expand binomial expressions using the Binomial Theorem and Pascal's Triangle
Convert between degrees and radians, identify coordinates on the unit circle
Verify and apply Pythagorean, reciprocal, quotient, and co-function identities
Solve trig equations over specified intervals and find general solutions
Graph sine, cosine, and tangent functions with amplitude, period, phase shift, and vertical shift
Interpret normal distributions, calculate z-scores, and use the empirical rule
Calculate conditional probability, test for independence, and use multiplication rules
Count arrangements using permutations and combinations with factorial notation
Analyze data sets, interpret standard deviation, and draw conclusions from samples
Write equations of circles and parabolas in standard form and graph them
Write equations of ellipses and hyperbolas, identify vertices, foci, and asymptotes
Convert general form to standard form by completing the square for all conic sections