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A polynomial of degree at most 2 passes through the points (0, 1), (1, 3) and (2, 9). Using Lagrange interpolation, its value at x = 3 is

1764Medium DSSSB TGT Computer Science 0 replies 1 views
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A polynomial of degree at most 2 passes through the points (0, 1), (1, 3) and (2, 9). Using Lagrange interpolation, its value at x = 3 is

  • A19
  • B21
  • C27
  • D17
Correct answer: A

Explanation

The interpolating polynomial is 2x² + 1, so its value at x = 3 is 2 × 9 + 1 = 19.
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