Mathematics · Linear Algebra
Let V be the real vector space of all polynomials with real coefficients. Let f(x) = x2 + x + 1. Which of the following subsets of V is linearly independent?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{f(x+1), f(x-1), f(x)}
- 2{f(x), f'(x), 1}✓
- 3{f(x+1) - f(x), f(x) - f(x-1), 1}
- 4{f'(x), f(x) - f(x-1), 1}
Correct answer
{f(x), f'(x), 1}
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