Definitions and Addition/Subtraction of Polynomials

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


  3x + 3
  7x - 1
  7x + 3

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 above, what is f(x) - g(x)?

  -3x + 3
  -3x - 1
   7x - 1

4. Given (1/2)x + 3 and  (1/3)x + 2, what is f(x) + g(x)?

 (2/5)x + 5
  (5/6)x + 5
 (1/6)x + 5


5. For (1/2)x + 3 and  (1/3)x + 2, what is f(x) - g(x)?

 0x + 5
 (2/5)x + 1
 (1/6)x + 1

6. What type of polynomial is  (1/2)x + 3?

 monomial
 binomial
 trinomial

7. What type of polynomial is   f(x) = x2 - 4x + 9?

  monomial
  binomial
  trinomial

8. For (1/2)x + 3 and  (1/3)x + 2, what is the domain of f(x) - g(x)?

  all real numbers except 2 and 3
  all positive real numbers
  all real numbers

9. What is the degree of the polynomial   f(x) = 8x5 - 12x3 + 2x2?

  The degree of the polynomial is 2.
  The degree of the polynomial is 3.
  The degree of the polynomial is 5.

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Copyright © 2000 Donna Tupper.