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Question

Find the polynomial p(x)=ax+b such that p(1)=2 & p(2)=5.

A
3x1
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B
3x+5
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C
2x+3
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D
2x+3
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Solution

The correct option is A 3x1
Given, p(x)=ax+bp(1)=2, p(2)=5

p(1)=a+b=2a+b=2 ...(i)p(2)=2a+b=52a+b=5 ...(ii)

Subtracting (i) from (ii), we get,
2a+b= 5a ±b=2–––––––––––– a =3

a=3

Substituting in (i), we get,
3+b=2b=23=1

Polynomial p(x)=ax+b=3x1

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