Math 140 Pre-calculus Chapter 2

Section 1 Complex Numbers
Worksheet – Complex Numbers

Section 2 Quadratic Graphs
Worksheet – Quadratic Graphs

Section 3 End Behavior-Zeros and Multiplicities- Intermediate Value Theorem
Worksheet – End Behavior-Zeros and Multiplicities- Intermediate Value Theorem

Section 4 Dividing Polynomials- Factor and Remainder Theorems
Worksheet – Dividing Polynomials- Factor and Remainder Theorems

Section 5 Zeros of Polynomials – Decartes’s Rule of Sign
Worksheet – Zeros of Polynomials – Decartes’s Rule of Sign

Section 6 Graphing Rational Functions
Worksheet – Graphing Rational Functions

Section 7 Inequalities
Worksheet – Inequalities

Section 8 Modeling Using Variation
Worksheet – Modeling Using Variation

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Student Requested Problems

Perform the Operation and Write in Standard Form 2-1-35 

Imaginary Simplification 2-1-39

Overestimating/Underestimating Wine Consumption and Max/Min 2.2.19

Find a Pair of Numbers Whose Product is as Large as Possible 2.2.61

Find the Zeros of the Polynomial Function 2.3.31

Use the Intermediate Value Theorem to Show the Polynomial Function has a Zero in the Interval 2.3.37

Use Long Division to State the Quotient and the Remainder 2-4-1

Use Long Division to Find Quotient and Remainder 2.4.15

Solve the Equation Given a Root 2-4-45

Rational Zeros and Possible Roots 2-5-9

Use Rational Zero Theorem, Descarte’s Rule of Signs to Find the First Root 2.5.12

Longer Example: Use Rational Zero Theorem, Descarte’s Rule of Signs to Find the First Root 2.5.12

List All Possible Rational Roots, Use Synthetic Division to Find Actual Root  2.5.19

Finding Roots 2-5-19

Polynomial from Given Information 2-5-27

Find Real Zeros of the Given Function Value 2.5.31

Use Rational Zero Theorem, Descarte’s Rule of Signs to Find the First Root 2-5-47

Use Rational Zero Theorem, Descarte’s Rule of Signs to Find the First Root 2.5.51

Zeros of an Equation 5th Degree 2-5-51

Find the Zeros of the Function 2-5-55

Determine the Number of Real Zeros and the Imaginary Zeros 2.5.79

Find the Vertical Asymptote of the Graph of the Rational Function 2.6.16

Limit 2-6-25 

Solve the Polynomial Inequality and Graph the Solution Set on a Real Number Line 2.7.27

Solve the Polynomial Inequality and Graph the Solution Set on a Real Number Line 2.7.41

Video on Solution of Inequality 2.7.53

Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2.7.53

Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2-7-57

Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2-7-59

Inequality of Rational Function 2.7.67

Inequality of Rational Function 2-7-67

Use the Graph of the Polynomial Function to Solve the Inequality 2-7-71

Find the Stopping Distance on the Dry Pavement 2-7-77

Inverse Variation 2-8-35