Show that the linear transformation T :P2 R2 defined by T(p(x)) = (p(1), p(1)) is not

Chapter 8, Problem 7

(choose chapter or problem)

Show that the linear transformation T :P2 R2 defined by T(p(x)) = (p(1), p(1)) is not one-to-one by finding a nonzero polynomial that maps into 0 = (0, 0). Do you think that this transformation is onto?

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