Real Polynomials

Learning tasks

A) Definitions
1) Identifying Polynomial Properties	Ex 1 Ex 2 Ex 3
2) Classifying Polynomials by Degree	Ex 4 Ex 5 Ex 6 Ex 7 Ex 8
3) Identifying Coefficients	Ex 9 Ex 10 Ex 11
B) Operations with Polynomials
4) Performing Linear Operations	Ex 12 Ex 13 Ex 14 Ex 15
5) Expanding Polynomials	Ex 16 Ex 17 Ex 18 Ex 19
6) Identifying Coefficients	Ex 20 Ex 21 Ex 22 Ex 23
C) The Division Algorithm
7) Performing Polynomial Division	Ex 24 Ex 25 Ex 26 Ex 27
8) Verifying Divisibility	Ex 28 Ex 29 Ex 30
9) Finding Coefficients of Factors	Ex 31 Ex 32 Ex 33
D) The Remainder and Factor Theorems
10) Applying the Remainder Theorem	Ex 34 Ex 35 Ex 36
11) Verifying Divisibility	Ex 37 Ex 38 Ex 39
12) Finding Unknown Coefficients	Ex 40 Ex 41 Ex 42
13) Factorising Polynomials Given a Factor	Ex 43 Ex 44
E) Quadratic Equations with Complex Roots
14) Solving Quadratic Equations	Ex 45 Ex 46 Ex 47 Ex 48
15) Factorizing Quadratic Polynomials	Ex 49 Ex 50 Ex 51 Ex 52
16) Factoring Polynomials	Ex 53 Ex 54 Ex 55
F) The Fundamental Theorem of Algebra
17) Applying the Conjugate Root Theorem	Ex 56 Ex 57 Ex 58
G) Sum and Product of Roots Theorem
18) Applying Vieta's Formulas	Ex 59 Ex 60 Ex 61 Ex 62
19) Finding All Roots of a Polynomial	Ex 63 Ex 64 Ex 65 Ex 66

Lesson
Text book

Exercises Correction
A) Definitions
    1) Identifying Polynomial Properties Ex 1 Ex 2 Ex 3
    2) Classifying Polynomials by Degree Ex 4 Ex 5 Ex 6 Ex 7 Ex 8
    3) Identifying Coefficients Ex 9 Ex 10 Ex 11
B) Operations with Polynomials
    4) Performing Linear Operations Ex 12 Ex 13 Ex 14 Ex 15
    5) Expanding Polynomials Ex 16 Ex 17 Ex 18 Ex 19
    6) Identifying Coefficients Ex 20 Ex 21 Ex 22 Ex 23
C) The Division Algorithm
    7) Performing Polynomial Division Ex 24 Ex 25 Ex 26 Ex 27
    8) Verifying Divisibility Ex 28 Ex 29 Ex 30
    9) Finding Coefficients of Factors Ex 31 Ex 32 Ex 33
D) The Remainder and Factor Theorems
    10) Applying the Remainder Theorem Ex 34 Ex 35 Ex 36
    11) Verifying Divisibility Ex 37 Ex 38 Ex 39
    12) Finding Unknown Coefficients Ex 40 Ex 41 Ex 42
    13) Factorising Polynomials Given a Factor Ex 43 Ex 44
E) Quadratic Equations with Complex Roots
    14) Solving Quadratic Equations Ex 45 Ex 46 Ex 47 Ex 48
    15) Factorizing Quadratic Polynomials Ex 49 Ex 50 Ex 51 Ex 52
    16) Factoring Polynomials Ex 53 Ex 54 Ex 55
F) The Fundamental Theorem of Algebra
    17) Applying the Conjugate Root Theorem Ex 56 Ex 57 Ex 58
G) Sum and Product of Roots Theorem
    18) Applying Vieta's Formulas Ex 59 Ex 60 Ex 61 Ex 62
    19) Finding All Roots of a Polynomial Ex 63 Ex 64 Ex 65 Ex 66