Multiple Choice Questions

Which of the following describes the roots of the polynomial function f(x) = (x - 3)^4 (x + 6)^2?
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
  • d. 3 with multiplicity 4 and -6 with multiplicity 2
  • d. f(x) = 7x^6 + 3x^3 + 12
  • b. If 1 + 13i is a root of f(x), then 1 - 13i is also a root of f(x).
Which of the following statements must be true about the polynomial function f(x)?
  • d. f(x) = 7x^6 + 3x^3 + 12
  • d. 3 with multiplicity 4 and -6 with multiplicity 2
  • b. If 1 + 13i is a root of f(x), then 1 - 13i is also a root of f(x).
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 4x^5 - 3x
  • d. 5 roots
  • d. f(x) = 7x^6 + 3x^3 + 12
  • b. 3 roots
  • c. 7 roots
Two roots of a third degree polynomial function f(x) are -4 andWhich statement describes the number and nature of all roots for this function?
  • d. f(x) = 7x^6 + 3x^3 + 12
  • b. f(x) has three real roots.
  • fx = (3x^2 - 4x -5)(2x^6 - 5)
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
  • d. f(x) = 7x^6 + 3x^3 + 12
  • fx = (3x^2 - 4x -5)(2x^6 - 5)
  • d. 5 roots
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 6 roots?
  • d. 5 roots
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
  • d. f(x) = 7x^6 + 3x^3 + 12
  • fx = (3x^2 - 4x -5)(2x^6 - 5)
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 8x^7 - x^5 + x^3 + 6
  • b. 3 roots
  • d. 5 roots
  • d. f(x) = 7x^6 + 3x^3 + 12
  • c. 7 roots
How many x intercepts appear on the graph of this polynomial function? f(x)= x^4 - x^3 + x^2 - x
  • d. f(x) = 7x^6 + 3x^3 + 12
  • a. 0 or 2
  • b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
  • b. 2 x intercepts
If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
  • d. 5 roots
  • a. 0 or 2
  • c. 7 roots
  • a. -9i
0 h : 0 m : 1 s

Multiple Choice Questions
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