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Let f(x)=x^(2)+ax+b be a quadratic polyn...

Let `f(x)=x^(2)+ax+b` be a quadratic polynomial in which a and b are integers. If for a given integer `n, f(n) f(n+1)=f(m)` for some integer m, then the value of m is

A

`n(a+b)+ab`

B

`n^(2)+an+b`

C

`n(n+1)+an+b`

D

`n^(2)n+a+b`

Text Solution

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The correct Answer is:
C
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