Everyp (t) ∈P2can be uniquely written in the formb01 + b1 (t−2) + b2 (t−2) 2....

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Everyp (t) ∈P2can be uniquely written in the formb01 + b1 (t−2) + b2 (t−2) 2....

Everyp (t) ∈P2can be uniquely written in the formb₀1 + b₁ (t−2) + b₂ (t−2) ². This statment is announcing a basis B of P₂. Identify this basis B.

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Answer 1

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Every plt) + P2 can be uniquely expressed as in the form boil to, (t-2) + 62. (+-2)² this statement ensure that the set. {1, -4.1 tel. (-2)¢ ¢3.(t-2) 30 implies 620, C220, C920 - B={1, (+-2), (4-2) } is linearly independent. since, B generates P2 AB

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Everyp (t) ∈P2can be uniquely written in the formb01 + b1 (t−2) + b2 (t−2) 2....

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Everyp (t) ∈P2can be uniquely written in the formb01 + b1 (t−2) + b2 (t−2) 2....

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Everyp (t) ∈P2can be uniquely written in the formb01 + b1 (t−2) + b2 (t−2) 2....