Question

Find the second degree polynomial with P(0)=0, P(1)=1 and P(2)=6

• A. 3x² + -1x = 0
• B. 2x² + 2x + 1 = 0
• C. 2x² + -1x = 0
• D. x² + 2x + 1 = 0

Answer 1

Answer:

C. 2x² + -1x = 0

P(x)= ax² + bx + c P(0) = c =0 ...... (1) P(1) = a + b + c =1 .........(2) P(2) = a × 2² + b × 2 + c = 6 4a + 2b + c =6 4a + 2b = 6 2a + b = 3 ..........(3) from (2) and (3) a = 2 b = -1 So , P(x) = 2x² + -1x = 0