1. Review of Factoring; Quadratic Equations and Rational
Chapter 8
A Transition
Section 4
Review of Factoring; Quadratic
Equations and Rational
Equations

2. Test-Taking Strategies Preparation

3. Factoring Polynomials (page 1)
Factor out any common factors.
Determine the number of terms in the polynomial.
If there are only 2 terms, check to see if the binomial is one of the special binomials.
Difference of Squares:
Sum of Squares:
is not factorable
Difference of Cubes:
Sum of Cubes:

4. Factoring Polynomials (page 2)
If there are 3 terms, try to use one of the following techniques.
       Find two integers m and n whose product is c and whose sum is b.
Factor by grouping or by trial and error.
If there are 4 terms, try factoring by grouping.
After the polynomial has been factored, be sure that any factor with two or more terms does not have any common factors other than 1. If there are common factors, factor them out.
Check your factoring through multiplication.

5. Factoring Polynomials1
Factoring Polynomials
Factor:
GCF:

6. Factoring Polynomials2
Factoring Polynomials
Factor:
Difference of Squares

7. Factoring Polynomials3
Factoring Polynomials
Factor:
Difference of Cubes

8. Factoring Polynomials4
Factoring Polynomials
Factor:
Sum of Cubes

9. Factoring Polynomials5
Factoring Polynomials
Factor:
Trinomial, Leading Coefficient of 1

10. Factoring Polynomials6
Factoring Polynomials
Factor:
Trinomial, Leading Coefficient of 1

11. Factoring Polynomials7
Factoring Polynomials
Factor:
Trinomial, Leading Coefficient Other Than 1

12. Factoring Polynomials8
Factoring Polynomials
Factor:
Factor by grouping

13. Solving Quadratic Equations by Factoring
Write the equation in standard form:
Factor the expression completely.
Set each factor equal to 0 and solve the resulting equations.
Check your solutions.

14. Solving Quadratic Equations by Factoring9
Solving Quadratic Equations by Factoring
Solve:

15. Solving Rational Equations
Find the LCD of all rational expressions in the equation and then multiply both sides of the equation by that LCD.
Solve the resulting equation. Check for extraneous solutions.

16. Solving Rational Equations (page 1)10
Solve:
LCD:

17. Solving Rational Equations (page 2)11
Extraneous Solution