TS ICET 2017 Question Paper with Solutions for online practice

Question : 125 of 200

Marks: +1, -0

The quadratic polynomial a

x^2

+ bx + c leaves remainders 1,2 and 4 respectively when . divided by (x - 1), (x - 2) and (x - 3). Then a + b + c =

Solution:

We have,

f(1)=1,f(2)=2

and

f(3)=4

Substituting x = 1 in

f(x)=ax^2+bx+c

we get

f(1)=a+b+c=1

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