Question

for this equation 2x 3 - 11x 2 + 12x + 9 = 0. 3 is a zero of multiplicity of what?? how would i find this?

Answer 1

first of all check that 3 is a zero. then factor as (x-3) q(x)
then find the zeros of q(x)

Answer 2

in fact this factors as
\[(x-3)^2(2x+1)\] so 3 is a zero of "multiplicity" 2

Answer 3

2 being the exponent on the factor (x-3). for the graph this means the curve touches the x-axis at 3 but does not cross