Lesson 21 Practice

  1. Division I. a) x-5 b) x+6
  2. Division II. a) x^3-x^2-2x b) x^3+2x^2-4x-8
  3. Division III. a) 4x^2-x+1+\frac{11}{2x-1} b) 3x^2+4x+6+\frac{17}{2x-3}
  4. Zeros I. a) i) 0 ii) 40 b) yes
  5. Zeros II. a) 2x-3 b) 3x^2+8x-3
  6. Fully Factoring I. a) 1,-1,2,-2,5,-5,10,-10 b)2 c) (x-2) d) x^2-4x-5 e) (x+1)(x-5)
  7. Fully Factoring II. f) (x-2)(x-5)(x+1) g) -1,2,5
  8. Rational Zero Test. a) 1,-1 b) 1,-1 c) \frac{1}{12},-\frac{1}{12},\frac{1}{6},-\frac{1}{6},\frac{1}{4},-\frac{1}{4},\frac{1}{3},-\frac{1}{3},\frac{1}{2},-\frac{1}{2},1,-1,2,-2,\frac{2}{3},-\frac{2}{3}
  9. Rational Zero Test II. a) -1 b) 1 c) \frac{1}{2},\frac{2}{3}