multiplying polynomials with conv

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 Comment

Your answer is correct. There is a typo in the book - don't worry about it.

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Answers (2)

Fangjun Jiang
Fangjun Jiang on 24 Oct 2011
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 Comments

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
No! The p given by conv() is correct. Double check your formula. The x in the middle, do you mean x or *?
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 on 29 Jun 2024
Edited: DGM on 3 Jul 2024
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 Comment

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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Asked:

on 24 Oct 2011

Commented:

DGM
on 3 Jul 2024

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