2. Write an m-file that does the following, show the results in your lab report. a....

 

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2. Write an m-file that does the following, show the results in your lab report. a. Define a polynomial function F1(s) = s^2+ 3s + 10 in Matlab and display the results. b. Calculate the roots of above polynomial by hand, and find roots by Matlab, display the results. Compare Matlab results with hand calculation. c. If function F2( s) has roots of -1, -3, and -22j, find the polynomial expression of F2(s), display the results in Matlab and mathematic format. d. Find polynomial F3( s) = F1( s) F2(s), display the results in Matlab and mathematic format. Find roots of F3(s) 2. Write an m-file that does the following, show the results in your lab report. a. Define a polynomial function F1(s) = s^2+ 3s + 10 in Matlab and display the results. b. Calculate the roots of above polynomial by hand, and find roots by Matlab, display the results. Compare Matlab results with hand calculation. c. If function F2( s) has roots of -1, -3, and -22j, find the polynomial expression of F2(s), display the results in Matlab and mathematic format. d. Find polynomial F3( s) = F1( s) F2(s), display the results in Matlab and mathematic format. Find roots of F3(s)