POLYNOMIALS
CHAPTER 1: POLYNOMIALS
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1. POLYNOMIALS
A. INTRODUCTION TO POLYNOMIALS
B. POLYNOMIAL FUNCTIONS
C. EQUALITY OF TWO POLYNOMIALS
2. OPERATIONS ON POLYNOMIALS
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A. ADDING POLYNOMIALS
B. SUBTRACTING POLYNOMIALS
C. MULTIPLYING POLYNOMIALS Vid 1 ,
D. DIVIDING POLYNOMIALS
1. Dividing a Polynomial by a Monomial Vid 1 ,
2. Dividing Two Polynomials (long division of polynomials) Vid 1 ,
3. Synthetic Division (Horner’s Method)
a. Dividing by x – c
b. Dividing by ax + b
4. Finding the Remainder Vid 1 ,
5. Finding the Remainder of Division by xn + a
E. BINOMIAL EXPANSION OF POLYNOMIALS Vid 1 ,
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CHAPTER 2: FACTORIZATION
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1. FACTORING POLYNOMIALS
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A. INTRODUCTION TO FACTORING
B. GREATEST COMMON FACTOR AND LEAST COMMON MULTIPLE OF POLYNOMIALS
C. FACTORING METHODS
1. Isolating a Common Factor
2. Grouping
3. Factoring by Identities
a. Squaring a Binomial
b. Factoring a Perfect Square Trinomial
c. Squaring a Trinomial
d. Difference of Two Squares
e. Cube of a Binomial
f. Sum or Difference of Two Cubes
4. Factoring Quadratic Polynomials
a. Factoring Trinomials of the Form x2 + bx + c
b. Factoring Trinomials of the Form ax2 + bx + c
5. Completing the Square
6. Factoring Binomials of the Form an ± bn
*All factoring methods mixed Vid 1 ,
Activity: Geometric Factorization
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2. RATIONAL EXPRESSIONS AND EQUATIONS
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A. RATIONAL EXPRESSIONS
1. Simplifying (Reducing) Rational Expressions Vid 1 ,
2. Operations on Rational Expressions
a. Multiplying Rational Expressions
b. Dividing Rational Expressions
c. Adding and Subtracting Rational Expressions Vid 1 ,
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B. POLYNOMIAL EQUATIONS AND RATIONAL EQUATIONS
1. Polynomial Equations
2. Rational Equations
3. Partial Fractions