Question

Observe the position of athletic taking long jump. He used to follow a particular type of path. In the figure we can observe the path followed by an athlete.

An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.

While playing in a garden, Samaira saw a honeycomb and asked her mother what is that. Her mother replied that it's a honeycomb made by honey bees to store honey. Also, she told her that the shape of the honeycomb formed is a mathematical structure. The mathematical representation of the honeycomb is shown in the graph. Based on the above information, answer the following questions :

The number of zeroes of the polynomial P(x) = (x –2)²(x + 3) is: