Answer :
let the polynomial be p(x)
p(x) = ax + b (where a and b are constants)
p(1) = a + b = 1 – (1) (given in the question)
p(2) = 2a + b = 3 – (2) (given in the question)
by (1) and (2)
a = 2, b = -1
⇒ p(x) = 2x – 1
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