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in Trigonometry by (41.5k points)

The determinant Δ = |(a2(1 + x), ab, ac), (ab, b2(1 + x), bc), (ac, bc, c2(1 + x)| is divisible by

(A) 1 + x

(B) (1 + x)2

(C) x2

(D) None of these 

1 Answer

+1 vote
by (41.3k points)
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Best answer

Answer is (C) x2

Δ(0) = 0 and Δ′(0) = 0 ⇒ x is a repeated root of Δ ⇒ Δ is divisible by x2.

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