For the equation 2x 3 - 11x 2 + 12x + 9 = 0, the root 3 has a multiplicity of _____.

Answer 1

since we know 3 is a roots, x-3 must be a factor, so

2x^3 - 11x^2 + 12x + 9
= (x-3)(2x^2 - 5x - 3)
= (x-3)(x-3)(2x+1)

so .....