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in this problem we are asked to get a coord vectors of polynomials with B as standard basis for P3 and then express one of the coord vectors as lin. combination of the others.

So the set is this:

{1-4x+4x^2+4x^3, 2-x+2x^2+x^3, -17 -2x-8x^2 + 2x^3}

The way I was thinking is since basis is {1, x, x^2. x^3} the coord vectors of each polynomial is their coefficients. But then the answer in the textbook is that these are lin. dependent so that p3 = -p1 + 2p2, where p(i) is the polynomial in the set above. And I do not see how -17 = -1 +4 ????

Any help is appreciated.

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# Coord vectors for polynomials

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