GATE XE (Engineering Sciences) 2025 - Question 14

Section: Engineering Mathematics | Marks: 1

Suppose the polynomial 𝑎+ 𝑏𝑥+ 𝑐𝑥2 + 𝑑𝑥3 interpolates the data, (−1, 1), (0, 3), (1, 2) and (2, 4). Then which one of the following statements is correct ?

• A. 𝑎= −2𝑐, 𝑑= −2𝑏
• B. 𝑎= 2𝑐, 𝑑= 2𝑏
• C. 𝑏= 3𝑐, 𝑎= 2𝑑
• D. 𝑏= 2𝑐, 𝑎= 3𝑑

Answer: A. 𝑎= −2𝑐, 𝑑= −2𝑏