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Sketching Polynomials
Contributed by: Pappal
  • 1. State the zero and multiplicity for the following factor: (x - 5)2
A) Zero: 2 Multiplicity:5
B) Zero:2 Multiplicity:-5
C) Zero:5 Multiplicity:2
D) Zero:-5 Multiplicity:2
  • 2. State the zero and multiplicity for the following factor: (x+3)
A) Zero:1 Multiplicity:-3
B) Zero:1 Multiplicity:3
C) Zero:-3 Multiplicity:1
D) Zero:3 Multiplicity:1
  • 3. State the zero and multiplicity for the following factor: -x2
A) Zero:0 Multiplicity:2
B) Zero:-1 Multiplicity:2
C) Zero:2 Multiplicity:0
D) Zero:2 Multiplicity:-1
  • 4. Which is the correct factor for a zero of 9?
A) 9x
B) x-9
C) x+9
D) x/9
  • 5. Which factor has a zero of -1 and a multiplicity of 1?
A) x+1
B) x-1
C) (1x+1)2
D) 1x
  • 6. Which factor has a zero of 5 and a multiplicity of 3
A) (x+3)5
B) (x-5)3
C) (x+5)3
D) (x-3)5
  • 7. Which set of factors has an x-intercepts at 5, -1, 2?
A) (x+5)(x-1)(x+2)
B) (5x)(-1x)(2x)
C) (x-5)(x+1)(x-2)
D) (x-5)(x-1)(x-2)
  • 8. Which is the correct factor for a zero of 0 and a multiplicity of 2?
A) x3
B) 2x2
C) x-2
D) x+2
  • 9. Which is the correct set of factors for the zeros of 0, -3, 1/2
A) x1/2(x-3)(2x-1)
B) x(x+3)(2x-1)
C) x2(x-3)(x-1/2)
D) 2(x+3)(x-1)2
  • 10. What is the leading terms for this set of factors: (x-1)(x+2)(x+3)
A) x2
B) x-1
C) x3
D) 3x
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