If - x- x 2 -4x-3 2x-4 13 2 x 2 -5x-9 4x-5 26 8 x 2 -6x-1 16x-6 104 -a x 3 -b x 2 -cx-d- then

The correct options are B b=0 C c=0 [ x^2+4x 3 amp; 2x+4 amp; 13; #160;2x^2+5x 9 amp; 4x+5 amp; 26; #160;8x^2 6x+1 ...

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Summation of Determinant

If Δ x= x 2...

Question

If $Δ (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + 4 x - 3 & 2 x + 4 & 13 2 x^{2} + 5 x - 9 & 4 x + 5 & 26 8 x^{2} - 6 x + 1 & 16 x - 6 & 104 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x^{3} + b x^{2} + c x + d$ , then

a = 3

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b = 0

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c = 0

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none of these

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Solution

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Δ (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 5 x + 3 & 2 x - 5 & 3 3 x^{2} + x + 4 & 6 x + 1 & 9 7 x^{2} - 6 x + 9 & 14 x - 6 & 21 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x^{3} + b x^{2} + c x + d

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