POLYNOMIALS

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