Prove that the polynomial functions p. q.r is a basis for Pi.e. for the lineur space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial...

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Extracted text: Prove that the polynomial functions p. q.r is a basis for Pi.e. for the lineur space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial function t relative to the ordered basis p. 4.r. A.3 p(x) = -1- q(1) = 3+2r r(r) =1- t(x) = -3+ 5x + z2 %3D