1. Determine whether the set S = {2x² - 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or dependent. If it is linearly dependent, show how to write one polynomial in terms of the others. 2....

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Extracted text: 1. Determine whether the set S = {2x² - 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or dependent. If it is linearly dependent, show how to write one polynomial in terms of the others. 2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)} a. Spans R3 b. Is linearly independent Is a basis for R³ C.