Show that ƒ(x), g(x), h(x), k(x) re linearly dependent

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Show that ƒ(x), g(x), h(x), k(x) re linearly dependent

Let P = R[x] and let ƒ(x), g(x), h(x), k(x) ? P be such that ƒ(t) = 1, g(t) = t, h(t) = t²and k(t) = 1 + t + t²for all t ? R. Show that ƒ(x), g(x), h(x), k(x) re linearly dependent but any three of them are linearly independent.

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Show that ƒ(x), g(x), h(x), k(x) re linearly dependent

Show that ƒ(x), g(x), h(x), k(x) re linearly dependent

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