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)
   $y=2{x^2} + x + 15$
   
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) $g\left( x \right) = \frac{1}{{10}}\left( {x + 2} \right)\left( {x - 1} \right)\left( {{x^2} - 8x + 17} \right)$