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The polynomial P (x)= kx^3+3x^2-3 and Q(...

The polynomial `P (x)= kx^3+3x^2-3` and `Q(x)=2x^3-5x+k`, when divided by (x-4) leave the same remainder. The value of 'k' is

A

2

B

1

C

0

D

-1

Text Solution

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The correct Answer is:
B
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. If (x-a) is a factor of x^3-a^2x+x+2, then 'a' is equal to

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  2. If 2x^3-5x^2+x+2=(x-2)(ax^2-bx-1) then a and b are respectively.

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  3. The polynomial P (x)= kx^3+3x^2-3 and Q(x)=2x^3-5x+k, when divided by ...

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  4. Find the intervals where f(x) is negative ((x-1)(x-2))/((2x-5)(x+4))

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  5. Solution set of ((x-2)^2(1-x)(x-3)^3(x-4)^2)/((x-1))le0 is

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  6. The interval in which (x^2-2x-3)/(x^2-2x) is negative,

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  7. Solution set of ((x-1)^(101)(x-2)^(102)(x-3)^(103))/((x-1)^(201)(x+2)^...

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  8. Solution set of (x^2-absx-12)/(x-3)ge2x is

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  9. Solve :abs((x^2-5x+4)/(x^2-4))le1

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  10. Solve : 1/((x-2))-1/xle 2/((x+2))

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  11. If log7 2=a, then log(49)28 is equal to

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  12. The solution set of the inequality log10 (x^2-16)le log10 (4x-11) is

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  13. If log4 (x^2+x)-log4(x+1)=2, then the value of x is

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  14. If log12 18=x, log24 4=y then the value of xy-(2x+5y)+4 is

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  15. The number of solution(s) of log4(x-1)=log2(x-3) is

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  16. If a^x=b, b^y=c,c^z=a then the value of xyz is

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  17. The value(s) of x, satisfying 3^(4log9(x+1))=2^(2log2 x)+3

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  18. The value of x satisfying abs(x-1)^(log3 x^2-2logx 9)=(x-1)^7 is

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  19. The value of x satisfying log((2x+3)) (6x^2+23x+21)=4-log((3x+7)) (4...

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  20. The value of x satisfying x+log10(1+2^x)=x log10 5+log10 6 is

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