Question

Write a second degree polynomial p(x) with p(0)=0 p(1) =2. P(2)=5

Answer 1

x^2+3x is answer

as let the polynomial be ax^2+bx+c

now putting zero we got C = 0
and by putting 1 and equating by 2 we have equation a+b= 2

now by putting 2 we have 4a+2b=5 by solving equation we have a = 1/2 and b = 3/2 hence we have the polynomial