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Q.

If Δ=x-22x-33x-42x-33x-44x-53x-55x-810x-17=Ax3+Bx2+Cx+D, then B+C is equal to

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a

-3

b

9

c

-1

d

1

answer is A.

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Detailed Solution

Using R2→R2-R1, R3→R3-R2x-22x-33x-4x-1x-1x-1x-22x-46x-12  x-1x-2  x-22x-33x-4111126(x-1)(x-2)(x-2)(6-2)-(2x-3)(6-1)+(3x-4)(2-1)(x-1)(x-2)(-3x+3) We get Ax3+Bx2+Cx+D=-3x3+12x2-15x+6⇒A=-3,B=12,C=-15,D=6B+C=-3
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