Problem 42775. Raise a polynomial to a power

Created by William

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In Matlab, polynomials are represented by a vector of coefficients. For example, the polynomial p=a*x^2 + b*x + c is represented by the vector p=[a, b, c].

In this problem, you will be given a polynomial p and a power N. We would like you to return the vector q that represents the polynominal p^N, the Nth power of p. If p = (x + 1), for instance, you will be returning the coefficients of (x+1)^N. (N will be a positive integer greater than 0.)

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Last Solution submitted on Dec 25, 2025

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Jess Stuart on 6 Feb 2017

Thought of another way to do this...
q=poly(kron(roots(p),ones(N,1)));

One-liner with size 21, but fails because of trivial roundoff error :(

Lateef Adewale Kareem on 7 Apr 2017

This isnt a particularly difficult problem

you can call this function powerpoly

function ppower = powerpoly(p,n)
ppower = p;
i = 1
while i < n
ppower = conv(ppower,p);
i = i + 1;
end

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Problem 42775. Raise a polynomial to a power

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Problem 42775. Raise a polynomial to a power

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Last 200 Solutions

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Problem Recent Solvers94

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