GATE XE (Engineering Sciences) 2023 - Question 16

Section: Engineering Mathematics | Type: NAT | Marks: 1

If the polynomial 𝑃(𝑥) = 𝑎0 + 𝑎1𝑥+ 𝑎2𝑥(𝑥−1) + 𝑎3𝑥(𝑥−1)(𝑥−2) interpolates the points (0, 2), (1, 3), (2, 2), and (3, 5), then the value of 𝑃( 5 2) is _________ (round off to 2 decimal places).

Answer: 2.60 to 2.65