Let W be the set of P4 consisting if all polynomials satisfying the conditions p(-2)=0. a.)...

Let W be the set of P₄ consisting if all polynomials satisfying the conditions p(-2)=0.

a.) prove that W is a subspace of P₄ by checking all 3 conditions in the definition of subspace.

b.) Find a basis for W. Prove that your basis is actually a basis for W by showing it is both linearly independent and spans W

c.) what is the dim(W)

Expert Solution

Colby Messinger answered 2 years ago

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