grandes-ecoles 2022 Q15

grandes-ecoles · France · mines-ponts-maths2__psi Proof Direct Proof of a Stated Identity or Equality

Let $A$ and $B$ be two polynomials in $\mathbf{R}[X]$ whose coefficients are all strictly positive. Prove that the coefficients of the product $AB$ are also strictly positive.

Let $A$ and $B$ be two polynomials in $\mathbf{R}[X]$ whose coefficients are all strictly positive. Prove that the coefficients of the product $AB$ are also strictly positive.

Paper Questions

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