multiplying polynomials with conv

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Morley
Morley 2011 年 10 月 24 日
コメント済み: DGM 2024 年 7 月 3 日
use matlab to carry out the following multiplication of polynomials
(x+1.4)(x-0.4)x(x+0.6)(x-1.4)
heres what i did---
a = [1,1.4];
b = [1, -.4];
c = [1, 0];
d = [1, .6];
e = [1, -1.4];
p = conv(a, conv(b, conv(c, conv(d, e))))
it gave me the correct result but its tagging an extra zero onto the end of my result. i assume this means its coming out as one higher power then it is supposed to be with a "0" constant. anyone see any problems here?
my answer is supposed to come out as
p = [1, 0.2, -2.2, -3.92, .4704]
while my work is giving me
p = [1, 0.2, -2.2, -3.92, .4704, 0]
so somewhere it is giving me an extra power of x and im not sure why
  1 件のコメント
Valeriy Fedorikhin
Valeriy Fedorikhin 2015 年 6 月 2 日
Your answer is correct. There is a typo in the book - don't worry about it.

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回答 (2 件)

Fangjun Jiang
Fangjun Jiang 2011 年 10 月 24 日
That is because you have one term as x, right? So the result will not have the constant term, as you specify [1,0] for x.
  3 件のコメント
Fangjun Jiang
Fangjun Jiang 2011 年 10 月 24 日
No! The p given by conv() is correct. Double check your formula. The x in the middle, do you mean x or *?
Morley
Morley 2011 年 10 月 24 日
yes that is just an x
ok maybe my answer is coming out correct
now i need to plot

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Iqra
Iqra 2024 年 6 月 29 日
編集済み: DGM 2024 年 7 月 3 日
Question
use MATLAB to carry out the following multiplication of polynomial x(x 1.8)(x-0.4)(x-1.6) plot the polynomial in the domain "-2<=x<=2."
ANSWER
% Define the polynomials
P = [1 18 0]; % x(x + 18)
Q = [1 -2 -0.64]; % (x - 0.4)(x - 1.6)
% Multiply the polynomials
result = conv(P, Q);
% Plot the polynomial
fplot(@(x) polyval(result, x), [-2, 2]);
title('Plot of the Polynomial');
xlabel('x');
ylabel('P(x) * Q(x)');
grid on;
  1 件のコメント
DGM
DGM 2024 年 7 月 3 日
Please format your answers. It's easier to read, and formatted code can be run right here on the forum, directly demonstrating the results.

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