Q71Section C (Part C)71 of 120

Linear independence of shifts of a quadratic polynomial

Let $V$ be the $\mathbb R$ -vector space of all polynomials with real coefficients. Let $f(x)=x^2+x+1$ . Which of the following subsets of $V$ are linearly independent?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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