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Question

If f(x) is a quadratic expression such that f(1)+f(2)=0, and 1 is a root of f(x)=0, then the other root of f(x)=0 is :

A
58
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B
85
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C
58
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D
85
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Solution

The correct option is D 85
Let α and β=1 be the roots of the polynomial, then we have f(x)=x2+(1α)xα.

f(1)=22α .......i

f(2)=63α ........ii

f(1)+f(2)=022α+63α=0α=85

So the other root is 85

So the correct answer is option D.

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