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Asked Feb 24, 2020
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Please solve this question.

9. Prove that the map L: P4(F) → F given by p(x) →
functional.
p(0) is a linear
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9. Prove that the map L: P4(F) → F given by p(x) → functional. p(0) is a linear

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Expert Answer

Step 1

We are given that L(p(x)) = p(0).

Let p(x), q(x) in P4(F) and α, β in the field F.

Now, 

             L( αp(x) + βq(x) ) = L( (αp+βq)(x) )

                                         = (αp+βq)(0)

                &n...

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