2.5: Zeros of Polynomials

Objectives:

• Define the "Fundamental Theorem of Algebra".
• Apply the Rational Roots test in finding zeros of polynomials.
• Apply conjugate pairs in finding zeros of polynomials.

Example 1

Student example 1

Example 2

Student example 2

Example 3

Student example 3

Problem set 2.5

# 6, 10, 18, 26, 38, 40, 42, 48, 51, 74

2.4: Complex Numbers

Objectives

• Write complex numbers in standard form.
• Solve quadratic equations with complex roots.

 Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Example 4

Student Example 4

Problem set 2.4:

# 6, 8, 14, 50, 60, 62, 66, 68, 76, 84

2.3b: Polynomial Synthetic Division

Objectives:

• Divide polynomials using synthetic division.
• Apply the Remainder and Factor Theorems in solving problems.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3 and Student Example 3

Problem set 2.3b

 # 24, 25, 36, 46, 50, 58

2.3a: Polynomial Long Division

Objectives:

• Divide polynomials using long division.

Example 1


Student Example 1


Example 2


Student Example 2


Problem set 2.3a
#1, 5, 7, 8, 14, 15, 16

2.2: Higher Order Polynomials

Objectives:

• Sketch polynomials using:
• Degree
• Leading coefficient test
• Zeros
• Use the Intermediate Value Theorem to locate zeros of a function

Example 1 & Student Example 1

 Example 2

Student Example 2

Example 3

Student Example 3

Problem Set 2.2 (in class):

1-8 (matching)

17, 20, 52, 70, 71, 88