**Please ANSWER USING MATLAB**

The roots of a polynomial Consider the sixth-order Legendre polynomial P(x) = 924x^6 - 2772x^5 + 3150x^4 - 1680x^3 + 420x^2 - 42x + 1. There is no general formula for the roots of a sixth-order polynomial, but one can find them easily enough using a computer. (a) Make a plot of P(x) from x = 0 to x =1 and by inspecting it find rough values for the six roots of the polynomial - the points at which the function is zero. b) Write a Matlab program to solve for the positions of all six roots to at least ten decimal places of accuracy, using Newton's method