Graph of the Number and Examples related Type of function 2 distinct Real roots = 3 x2 x – (crosses x-axis twice) 1 distinct Real root with a multiplicity + 16 = 8x x2 of two (double root) (touches x-axis but does not cross) 0 Real 2x + 3 = x2 – 2 Complex 0
Examples Graph of the related function Number and Type of x2 – x = 3 2 distinct Real roots (crosses x-axis twice) x2 + 16 = 8x 1 distinct Real root with a multiplicity of two (double root) (touches x-axis but does not cross) x2 – 2x + 3 = 0 0 Real 2 Complex