ITT Technical Institute
Framingham, Massachusetts
Quarter 2 Electronics Mathematics
Instructor: Paul Burney

Name __________________________________

---

Algebra--Factoring and Multiplying Polynomials
(Test #6)

---

Instructions:

Please solve the following problems. Credit will be given for work completed so make sure to show it! All questions are worth 10 points.

Formulas:

The following formulas / examples involving factoring may be useful in the problems below.

• 18a³ + 24a = 6a(3a² + 4)
  
• (a + b) · (c - d) ==> ac - ad + bc -bd
  FOIL (first, outer, inner, last)
  
• (a + b)² = a² + 2ab +b²
  
• (a - b)² = a² -2ab +b²
  
• a³ + b³ = (a + b)(a² - ab + b²)
  
• a³ - b³ = (a - b)(a² + ab + b²)

 

Problems:

1. Multiply the following polynomials:
   
   (x - 4) · (x + 4)
   
   
   
   
   (3x - 2y) · (4x + 3y)
   
   
   
   
   (3y - 7) · (3y + 7)
   
   
   
   
   (x - 9)²
   
   
   
   
   
2. Factor the following polynomial expressions:
   
   x² - 16
   
   
   
   
   x² + 14x + 49
   
   
   
   
   a³ - 27
   
   
   
   
   5xy - 7x
   
   
   
   
   8a²b + 14ab³
   
   
   
   
   9x² - 24xy + 16y²