Question: Given that: P, = 1+ 2r + x, P, = 2+9x, P, = 3+3r + 4x, and p = 2+ 17x 3? = 2

Given that: P, = 1+ 2r + x, P, = 2+9x, P,

Given that: P, = 1+ 2r + x, P, = 2+9x, P, = 3+3r + 4x, and p = 2+ 17x 3? = 2 + 9x, p, = 3 + 3r + 4x, and Then: (i) show that the set S {p,,p,, P,} is a basis for P2, and (ii) find the coordinate vector of p relative to S.

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