How to solve this question on a quadratic polynomial in a short period of time? The remainders from two divisions are given.

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1 Answer
Mar 18, 2018

Answer is (3)

Explanation:

Using remainder theorem we have

P(1)=4 and P(-1)=6

Further P(0)=1 means P(x)=ax^2+bx+1

as P(1)=4, a+b=3 and as P(-1)=6, a-b=5

Hence a=4 and b=-1

and P(2)=4*2^2-1*2+1=15

and P(-2)=4*(-2)^2-1*(-2)+1=19

Hence, answer is (3)