Question

Following a polynomial, find
a. the zero's and the multiplicity of each
b. where the graph crosses or touches the x-axis
c. the number of turning points
d. the end behavior

f(x)=(x+3)(x-5)(x+5)

Answer 1

the zeros are shown above, each of multiplicity 1

the zeros are where the graph crosses the axis, since there are no multiple roots

since the graph crosses the axis 3 times, there are 2 turning points

graph rises up from lower left, turns twice, and exits to upper right