Transcribed Image Text: Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D² : P4 → P2 be the linear transformation

Excerpt
kernel of D2 is { }. Enter a polynomial or a comma separated list of polynomials. A basis for the range of D2 is { }. Enter a polynomial or a comma separated list of polynomials. Note: You can earn partial credit on ts problem.

Transcribed Image Text: Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D² : P4 → P2 be the linear transformation that takes a polynomial to its second
derivative. That is, D2 (p(x)) = p” (x) for any polynomial p(x) of degree 4 or less.
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A basis for the kernel of D2 is {
}. Enter a polynomial or a comma separated list of polynomials.
A basis for the range of D2 is {
}. Enter a polynomial or a comma separated list of polynomials.
Note: You can earn partial credit on ts problem.

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