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If p$p$ is a polynomial with real coefficients and p(x)>0 on [0,1], then p(x)=\sum c_{i,j} x^i(1-x)^j$p(x)=\sum c_{i,j} x^i(1-x)^j$ with c_{i,j}$c_{i,j}$ positive. I know this is true but but I need a proof/reference. Thanks!
If p is a polynomial with real coefficients and p(x)>0 on [0,1], then p(x)=\sum c_{i,j} x^i(1-x)^j with c_{i,j} positive. I know this is true but but I need a proof/reference. Thanks!
If $p$ is a polynomial with real coefficients and p(x)>0 on [0,1], then $p(x)=\sum c_{i,j} x^i(1-x)^j$ with $c_{i,j}$ positive. I know this is true but but I need a proof/reference. Thanks!
If p is a polynomial with real coefficients and p(x)>0 on [0,1], then p(x)=\sum c_{i,j} x^i(1-x)^j with c_{i,j} positive. I know this is true but but I need a proof/reference. Thanks!
