Imaginary zeros of polynomials

Lessons

• 1.
  Discussing the Relationship Between the Discriminant and X-intercepts on a Graph
  Sketch and compare the following quadratic functions:
  i)

  $y=2{x^2} + x - 15$
  ii)

  $y=x^2+4x+4$
  iii)

  $y=2{x^2} + x + 15$
  

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• 2.
  Locating the Regions of Imaginary Zeros on Polynomial Graphs
  Indicate the region on the graphs where the non-real zeros occur.
  i) $f\left( x \right) = \frac{1}{{10}}\left( {x + 2} \right)\left( {x - 1} \right)\left( {x - 3} \right)\left( {x - 5} \right)$
  ii) $g\left( x \right) = \frac{1}{{10}}\left( {x + 2} \right)\left( {x - 1} \right)\left( {{x^2} - 8x + 17} \right)$

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