Math Study Guide




Book: Algebra Structure and Method Book 1

 Houghton Mifflin Company

Ch.5 Factoring Polynomials

Quotients and Factoring

5- 1 Factoring Integers
Overview:  To factor integers and to find the greatest common factor of several integers.
    Assignment:  Written Exercise 1-52 (odd) ______   
5-2 Dividing Monomials
    Overview:  To simplify quotients of monomials and to find the GCF of several monomials.
Assignment:  Written Exercise 1-62 (odd)
5-3 Monomial Factors of Polynomials
Overview:  To divide polynomials by monomials and to find monomial factors of polynomials.
Assignment:  Written Exercise 1-54 (odd)

Products and Factors

5-4 Multiplying Binomials Mentally
Overview:  To find the product of two binomials mentally.
Assignment:  Written Exercise 1-49 (odd)
5-5 Differences in Two Squares
Overview:  To simplify products of the form (a + b)(a – b) and to factor differences of two squares.
Assignment:  Written Exercise 1-66 (odd)
5-6 Squares of Binomials
Overview:  To find squares of binomials and to factor perfect square trinomials.
Assignment:  Written Exercise 1-66 (odd)

Factoring Patterns

5-7 x + bx + c, c positive
Overview:  To factor quadratic trinomials whose quadratic coefficient is 1 and whose constant term is positive.
Assignment:  Written Exercise 1-56 (odd)
5-8 x + bx + c, c negative
Overview:  To factor quadratic trinomials whose quadratic coefficient is 1 and whose constant term is negative.
Assignment: Written Exercise 1-56 (odd)

5-9 ax + bx + c
Overview: To factor general quadratic trinomials with integral coefficients.
Assignment:  Written Exercise 1-46 (odd)


General Factoring and Its Application

5-10 Factoring by Grouping
Overview:  To factor a polynomial by grouping terms.
Assignment: Written Exercise 1-63 (odd)
5-11 Using Several Methods of Factoring
Overview: To factor polynomials completely.
Assignment: Written Exercise 1-58 (odd)
5-12 Solving Equations by Factoring
Overview: To use factoring in solving polynomial equations.
Assignment: Written Exercise 1-55 (odd)
5-13 Using Factoring to Solve Problems
Overview:  To solve problems by writing and factoring quadratic equations.
Assignment: Problems 1-32 (odd)

Chapter Review
Chapter Test