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## Homework Statement

Simple enough: Is P

_{2}a subspace of P

_{3}?

## Homework Equations

## The Attempt at a Solution

I think it is. All P

_{2}'s can be written in the form 0x^3 + ax^2 + bx + c. Then, it's easy to see that it's closed under scalar addition and multiplication.

Our professor mentioned that R

_{2}is NOT a subspace of R

_{3}, so that's throwing me off here. Anyone?