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Multiplying two polynomials without using conv() function

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gmltn1212
gmltn1212 2020-6-13
编辑： Saleh AlSenaidi 2021-11-27
How can I multiply two polynomials without usiing conv() function?
%two polynomials
a = [13,-13] %a = 13x - 13
b = [-13,9,8] %b = -13x^2 + 9x + 8
I am trying to return the result of the mutiplication like this
m = [-169, 286, -117, -104]

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回答（2 个）

Ameer Hamza
Ameer Hamza 2020-6-13
编辑：Ameer Hamza 2020-6-13
"without using conv() function"
syms s
a = [13,-13] %a = 13x - 13
b = [-13,9,8] %b = -13x^2 + 9x + 8
ab = sym2poly(poly2sym(a, s)*poly2sym(b, s))
Result
>> ab
ab =
-169 286 -13 -104
Saleh AlSenaidi
Saleh AlSenaidi 2021-11-26
编辑：Saleh AlSenaidi 2021-11-27
If you don't have symbolic toolbox, you can use this code
a = [13,-13]; %a = 13x - 13
b = [-13,9,8]; %b = -13x^2 + 9x + 8
roots_a =roots(a);
roots_b =roots(b);
ab =a(1,1)*b(1,1)*poly([roots_a.',roots_b.'])
Note: X.' is the non-conjugate transpose of X.
Resut
>> ab
ab =
-169 286 -13 -104

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