5-1 Factoring Integers: To factor integers and to find the greatest common factor of several integers.

5-2 Dividing Monomials: To simplify quotients of monomials and to find the GCF of several monomials.

5-3 Monomial Factors of Polynomials: To divide polynomials by monomials and to find monomial factors of polynomials.

5-4 Multiplying Binomials Mentally: To find the product of two binomials mentally.

5-5 Differences of Two Squares: To simplify products of the form (a+b)(a-b) and to factor differences of two squares.

5-6 Squares of Binomials: To find squares of binomials and to factor perfect square trinomials.

5-7 Factoring Pattern for x2+bx+c, c positive: To factor quadratic trinomials whose quadratic coefficient is 1 and whose constant term is positive.

5-8 Factoring Pattern for x2+bx+c, c negative: To factor quadratic trinomials whose quadratic coefficient is 1 and whose constant term is negative.

5-9 Factoring Pattern for ax2+bx+c: To factor general quadratic trinomials with integral coefficients.

5-10 Factoring by Grouping: To factor a polynomial by grouping terms.

5-11 Using Several Methods of Factoring: To factor polynomials completely.

5-12 Solving Equations by Factoring: To use factoring in solving polynomial expressions.

5-13 Using Factoring to Solve Problems: TO solve problems by writing and factoring quadratic equations.