Lesson 22 Practice

  1. Polynomial of Odd Degree. a) 5 b) no c) A polynomial always has an even number of roots with imaginary parts
  2. Real Zeros. a) 1-\sqrt{5},1+\sqrt{5} b) -4,0,5 c) 3 d) \frac{3}{4}
  3. Steps.

    4

    2

    3

    1

  4. Intermediate Value Theorem. a) 1 b) (1.8,1.9)
  5. All the Zeros.

    a) 2-\sqrt{5},2+\sqrt{5}

    b) -4i,4i

    c) -5,-2-i\sqrt{3},-2+i\sqrt{3}

  6. Function from Zeros I. (x+2)(x+1)(x-3i)(x+3i)
  7. Function from Zeros II. 2(x-1)(x-4)(x-2i)(x+2i)