Multiplication and Division of Polynomials

1. Given f(x) = 2x + 1 and g(x) = 5x - 2, what is f(x) * g(x)?

  10x² - x + 2
  10x² - x - 2
  10x² + x -2

2. For f(x) and g(x) defined above, what is the domain of the function f(x) * g(x)?

  Domain = all real numbers
  Domain = all real numbers greater than 0
  Domain = all real numbers except 2/5.

3. For f(x) and g(x) defined in question 1, what is the degree of  f(x) * g(x)?

  The degree is 2.
  The degree is 3.
  The degree is 0.

4. Given and  , what is f(x) * g(x)?

 
  
 

5. What type of polynomial is f(x) * g(x) where f and g are defined in question 4.?

 a monomial
 a binomial
 a trinomial

6. For f(x) = 3x - 1 , what is f(x) * f(x)?

 9x² - 6x + 1
 9x² - 6x - 1
 9x² + 6x + 1

7. For and  g(x) = 2x, what is f(x) / g(x)?  Do not simplify.

  x - 3
  
  

8. What is the domain of f(x) / g(x), where f and g are defined in question 7?

  all real numbers except 0
  all positive real numbers
  all real numbers

9. For f(x) = 8x⁵ - 12x³ + 2x²  and  g(x) = -2x², determine f(x) / g(x)?

  -4x⁷ - 6x⁵ - 1x⁴
  4x³ - 6x + 1
  -4x³ + 6x - 1