I'm trying to show that a set W of polynomials in P(adsbygoogle = window.adsbygoogle || []).push({}); _{2}such that p(1)=0 is a subspace of P_{2}. Then find a basis for W and dim(W).

I have already found that the set W is a subspace of P_{2}because it is closed under addition and scalar multiplication and have showed that. The thing i'm stuck on is finding a basis of W and the dim(W), but i think if i figure out how to find the basis i would be able to see what the dim(W) is. So my question is can anyone give me a hint on how to find the basis for W? Thanks

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Subspace of Polynomials of degree 2

Loading...

Similar Threads - Subspace Polynomials degree | Date |
---|---|

I Splitting ring of polynomials - why is this result unfindable? | Feb 11, 2018 |

I How to find admissible functions for a domain? | Jan 31, 2018 |

I Affine Subspace | Jun 14, 2017 |

I Proving a lemma on decomposition of V to T-cyclic subspace | Mar 16, 2017 |

I Prove that V is the internal direct sum of two subspaces | Feb 6, 2017 |

**Physics Forums - The Fusion of Science and Community**