Q. 3 A3.5( 8 Votes )

Find polynomials p(x) satisfying each set of conditions below.

First degree polynomial with p(1) = 1 and p(2) = 3.

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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