
Apply the rational root theorem to list candidates from factor pairs of the constant term and leading coefficient, then verify actual roots with synthetic division.
Learn to perform binomial expansion with Pascal's triangle, identify coefficients from each row, assign decreasing powers, and expand expressions with positive and negative terms.
Identify vertical and horizontal asymptotes for rational functions, compute intercepts, and use sign analysis to sketch the graph.
Master composite functions by identifying inner and outer functions and evaluating F(G(x)) step by step. Practice simplifying polynomials and fractions through multiple examples.
Practice finding inverse functions by swapping x and y, isolating y, and solving algebraically across several exercises.
This course is designed to help students practice the topics of polynomials and functions.
It provides exercises to help you navigate the topics of polynomials and functions in the class of Pre Calculus, while at the same time helps you reinforce concepts in Algebra.
If you take this course you will master the topics if:
-Arithmetic operations using polynomials (multiplication and long division of polynomials)
-Factorization (difference of perfect squares, greatest common factor, AC method, etc)
-Binomial expansion (Squared binomial, cubed binomial, Pascal's triangle etc.)
-Quadratic formula
-Parent functions
-Function transformation
-Rational functions
-Reciprocal transformation
-Composite functions
-Inverse functions