Precalculus: Analytic Geometry and Algebra

All the questions are on the attached document

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What is the degree of this polynomial function? x + 2×3 + 4.

a. 0 b. 1 c. 2 d. 3

Find the real roots or zeros of this polynomial function: (x3 – x2)(x + 4).

  1. 0, −1, −4
  2. 0,1,4
  3. 0,1,−4
  4. 1, −4

Determine the direction of the graph: 2x = 5.

  1. increasing
  2. decreasing
  3. horizontal
  4. vertical

Find the x-intercepts of the function f(x) = x3 + 3×2 – x – 3.

  1. (–1,0),(1,0),(3,0)
  2. (–1,0),(1,0),(–3,0)
  3. (–3,0),(1,0),(3,0)
  4. (–3,0),(–1,0),(3,0)

Find the equation of the circle with the given information: C(−5, 1), r = 2.

a. b. c. d.

(x–5)2 +(y+1)2 =4 (x–5)2 +(y+1)2 =2 (x+5)2 +(y–1)2 =4 (x+5)2 +(y–1)2 =2

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Find the equation of the line given that it is perpendicular to x – 2y = 5 and contains point (0, 0)

  1. 2x–y=0
  2. 2x+y=0
  3. x–2y=0
  4. x+2y=0

Find the solution of this quadratic equation by factoring: x2 – 64 = 0.

  1. x=4,16
  2. x=8,−8
  3. x=8
  4. x=1,64

Write the equation of an ellipse with center (0, 0) , vertices (3, 0) and (–3, 0) , and foci (2, 0) and (–2, 0). a.

b. c. d.

Find the slope of the line passing through this pair of points: (0, −2), (4, 0).

  1. 2
  2. −2

c.

d.

Whatisthesolutionsetto(x+3)(x–2)(2x+1)≥0?

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a. b. c. d.

{ x | x ≤ −3 or ≤ x ≤ 2 } {x|x≤−3or− ≤x≤2} { x | −3 ≤ x ≤ or x ≥ 2 } {x|−3≤x≤− orx≥2}