Question

Find the zeros of the polynomial function and state the multiplicity of each. State whether the graph touches the x-axis and turns or crosses the x-axis at each zero. (Enter your answers from smallest to largest x.)

h(x) = (6x + 1)^3(x + 1)^2

The smaller value x=__________has multiplicity _________
The larger value x=_____________has multiplicity_________

Answer 1

Step-by-step explanation: The zeros of the polynomial function h(x) = (6x + 1)^3(x + 1)^2 are x = -1 and x = 1/2. The multiplicity of each is 1. The graph touches the x-axis at x = -1 and turns upward, while the graph crosses the x-axis at x = 1/2 and turns downward.