What is the solution to (1+x+x^2+x^3)^2 from Gelfand's Algebra?

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The problem from Gelfand's Algebra involves computing the square of the polynomial (1+x+x^2+x^3). The verified solution is 1+2x+3x^2+4x^3+3x^4+2x^5+x^6. The discussion confirms that this solution is correct. The participants express gratitude for the verification. Overall, the solution aligns with the expectations set by the problem statement.
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Homework Statement
Compute
Relevant Equations
(1+x+x^2+x^3)^2
This is a problem from Gelfand's Algebra. Needed to verify my solution.

My solution to the problem above was the following.

1+2x+3x^2+4x^3+3x^4+2x^5+x^6

Thanks.
 
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sunny79 said:
Homework Statement: Compute
Homework Equations: (1+x+x^2+X^3)^2

This is a problem from Gelfand's Algebra. Needed to verify my solution.

My solution to the problem above was the following.

1+2x+3x^2+4x^3+3x^4+2x^5+x^6

Thanks.
It is correct.
 
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Thanks a lot. :)
 
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