Factoring a Sum or Differenceof Two Cubes

Multiply.

2

2

1. 5 5 25

2. 5 5 25

x x x

x x x

Write a rule to factor the sum or difference of two cubes.

Chapter 10Discovery 1

Determining Signs for the Factors of c

Factor the following quadratic trinomials of the form 2 . x bx c21. 5 6 x x

If c is positive and b is positive, then the factors of c are both ____.22. 5 6 x x

If c is positive and b is negative, then the factors of c are both ____.23. 6 x x

If c is negative and b is positive, then the factors of c have different signs. The factor with the largest absolute value is ____.

24. 6 x xIf c is negative and b is negative, then the factors of c have different signs. The factorwith the largest absolute value is ____.

Write a rule to determine when the factors are positive or negative.

Chapter 10Discovery 2