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Question

If f(x),g(x) and h(x) are three polynomials of degree 2 and Δ(x)∣ ∣ ∣f(x)f(x)f"(x)g(x)g(x)g"(x)h(x)h(x)g"(x)∣ ∣ ∣ then polynomial of degree (whenever defined)

A
2
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B
3
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C
0
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D
1
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Solution

The correct option is C 0
(x)=∣ ∣ ∣f(x)g(x)h(x)f(x)g(x)h(x)f′′(x)g′′(x)h′′(x)∣ ∣ ∣
f(x)[g(x).h′′(x)h(x)g′′(x)]g(x)[f(x)h′′(x)h(x)f′′(x)]+h(x)[f(x)g′′(x)g(x)f′′(x)]
f(x),g(x),h(x) are polynomial of degree 2
f(x),g(x),h(x) are of degree 1
f′′(x),g′′(x),h′′(x) are of degree 0
(x) is polynomial of degree 3

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