Linear And Quadratic Functions (Page 2 of 4) in pdf

Linear And Quadratic Functions Page 2

Chapter 2: Polynomial Functions

Section 2.1: Polynomials

• Degree and Name (ex: D = 3, cubic)

• Leading coefficient, leading term, degree, constant

• If P(x) = 0 then x is a root of P(x) and a zero of the function

• Synthetic Division – use to evaluate a polynomial

Section 2.2: Synthetic Division

• The Remainder Theorem

• The Factor Theorem

• Finding the quotient and remainder

Section 2.3: Graphing Polynomial Functions

• Shape/curve of linear, quadratic, cubic, and quartic functions

• Double roots and triple roots

• Quadratic and Quartic functions open up or down

Section 2.4: Finding maximums and minimums of polynomial functions

• Maximizing Area

• Finding the minimum value of a quadratic equation

Section 2.6: Solving Polynomial Equations by Factoring

• Rational Root Theorem

• Possible roots are

where p: factors of the constant and q: factors of the leading coefficient

Section 2.7: General Results for Polynomial Equations

• The Fundamental Theorem of Algebra

• The Complex Conjugate Theorem

• If a

is a root so is a

−

• If P(x) is a polynomial of odd degree, then P(x) has at least one real root

• Sum of the roots formula

• Product of the roots formulas

Look at your Chapter 1 – 2 Review Sheet (more detailed)

Chapter 3: Inequalities

Section 3.1: Linear Inequalities; Absolute Value

• Solving inequalities is similar to solving equations

• Absolute value – “and” statement / “or” statement

Section 3.2: Polynomial Inequalities in One Variable

• Shading above or below the graph

• Dashed line ( > or < ) OR Solid line (

≤ )

≥

• Find the zeros and test the intervals

Linear And Quadratic Functions Page 2