Problem

Construct a rule of the form that is exact for all polynomials of degree?2; tha...

Construct a rule of the form

that is exact for all polynomials of degree?2; that is, determine values for α, β, and γ .

Hint: Make the relation exact for 1, x, and x² and find a solution of the resulting equations. If it is exact for these polynomials, it is exact for all polynomials of degree ?2.

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Solutions For Problems in Chapter 6.2

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