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If `f(x),g(x)andh(x)` are three polynomials of degree 2 , then prove that `phi(x)=abs{:(f(x)" "g(x)" "h(x)),(f'(x)" "g'(x)" "h'(x)),(f''(x)" "g''(x)" "h''(x)):}` is a constant polynomial.

A

`2(3n+r)`

B

`3(2n-r)`

C

`3(2n+r)`

D

`2n(3n-r)`

Text Solution

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The correct Answer is:
D
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