"Let Px be union of all polynomials.(adsbygoogle = window.adsbygoogle || []).push({});

Choose a an element of R, and define ta : Px --> R by ta(f) = f(a)

Let T=ker(Ta). Prove that the map

p(x) |--> (x − a)p(x)

is a linear, one-to-one, and onto transformation Px --> T ."

Is the assertation in the problem correct?

If so, how do you prove it?

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# Polynomial Proof

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