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

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Advance Math

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

a.) prove that W is a subspace of P4 by checking all3 conditions in the definition of subspace.

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

c.) what is the dim(W)

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