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Let ax^3+bx^2+cx+d =|(x+1,2x,3x),(2x+3,x...

Let `ax^3+bx^2+cx+d =|(x+1,2x,3x),(2x+3,x+1,x), (2-x,3x+4,5x-1)|` then what is the value of c

A

-1

B

34

C

35

D

50

Text Solution

Verified by Experts

The correct Answer is:
C
`ax^(3)+bx^(2)+cx+d`
`=(x+1)[(x+1)(5x-1)-x(3x+4)]-2x[(2x+3)(5x-1)-x(2-x)]+3x[(2x+3)(3x+4)-(2-x)(x+1)]`
`rArr ax^(3)+bx^(2)+cx+d=x^(3)+28x^(2)+35x-1`
`rArr c = 35`
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