Check if Linear Independence Proof is Accurate

The set $\{p_0,\cdot ,p_m\}$ has $m+1$ members. Each can be written as $(x-2)p$ with $p$ an element in $P_{m-1}.$ As $P_{m-1}$ is of dimension $m$ it is not possible to find $m+1$ independent polynomials.

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Linear Algebra

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