2. Exercise problems (a) Find all real and complex roots of the following equati

Question

2. Exercise problems (a) Find all real and complex roots of the following equation: b) Using polyval, make a smooth plot of the following polynomial function for x--10 to 10. Find all roots using function roots. Using the result, factor out the polynomial by hand. f(x) = 2x3-11x2-56x + 245 (c) Find the highest root of the function in part (b) by Newton-Raphson method. Use newtraph.m with an initial guess that is near the highest root (d) Find all real and complex roots of the following polynomial equation. Utilize the function com for polynomial expansion (hint: x=1 is one of the roots) +2x-2

Explanation / Answer

a.)

b)

p = [2 -11 -56 245]

x = [-10 : 10]

y = polyval(p,x)

plot(y,x)

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