matlab please help Use MATLAB to obtain the roots of x^3 + 13x^2 = 52x + 6 = 0.

Question

matlab please help

Use MATLAB to obtain the roots of x^3 + 13x^2 = 52x + 6 = 0. Use the poly function to confirm your answer. Use MATLAB to confirm that (20x^2 - 7x^2 + 5x + 10)(4x^2 + 12(-3) = 80x^3 + 212x^4 - 124x^3 121x^2 + 105x - 30 Use MATLAB to confirm that 12x^3 - 5x^2 - 2x + 3/3x^2 - 7x + 4 = 4x + 11 with a remainder of 59x - 41. Use MATLAB to confirm that 6x^3 + 4x^2 - 5/12x^3 - 7x^3 + 3x + 9 = 0.7CR where x = 2 Plot the polynomial y = x^3 + 13x^2 + 52x + 6 over the range -7 lessthanorequalto x lessthanorequalto 1. Create an anonymous function for 10e^-2x and use it to plot the function.

Explanation / Answer

(1) p = [1 13 52 6];

r = rots(p)

so r =

0.11889

6.44056+2.99797i

6.440562.99797i

now r = [-0.11889; -6.44056+2.99797i; -6.44056-2.99797i];

p=poly(r)

So p = 1.0000 13.0000 52.0000 6.0000

(2) u = [20 -7 5 10];

So w = 80 212 -124 121 105 -30

(3)   u = [12 5 -2 3];

So q = 4 11

r = 59 -41

(4)   p = [6 4 -5];

q = [12 -7 3 9];

b = polyval(q,2)

c = a/b

So c = 0.7108

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