Find the zeros of f(x)=(x-2/3)(x+2)^3(x-5)^2. Then determine the multiplicity of each zero. Also state whether the graph crosses and goes through the x axis or just touches the x-axis at these zeros.

Question

anonymous · Answer

multiplcity is the power that whatever is in the parentheses is raised to so the multiplicity of ((x-2)/3) is one (x+2)^3 is 3 and (x-5)^2 is two

anonymous · Answer

it crosses the graph if the multiplicity is odd and touches if it is even

anonymous · Answer

to find the zeros set each part equal to zero