Matlab Code, Hardware and Software Integration

The first three Legendre polynomials are defined as P(c) = 1R(x)-x, and g@)- , There is a general recurrence formula for Legendre polynomials, by which they are defined recursively as follows: (n 1)P+(x) - (2n+ 1)xP(x) nPi-1(x)-o, n 2 1 Define a recursive MATLAB function p (n, x) to generate Legendre polynomials and calculate the values of the nth Legendre polynomial at the input vector x, given the form of Po and P. Use your function to compute the values of p (n, x) for n-l, 2, 3, 4, 5, 6 and plot these Legendre polynomials for x--1:0.01:1 on the same graph. Use different colors and line styles for different polynomials and include appropriate labels for the axes, title for the figure, and legend for the graphs