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If x^3 + 5x^2+10k leaves remainder -2x w...

If `x^3 + 5x^2+10k` leaves remainder -2x when divided by `x^2+2` then the value of k is:

A

`-2`

B

`-1`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-ELEMENTS OF ALGEBRA-INTRODUCTORY EXERCISE - 13.1
  1. On dividing (x^(3)-6x+7) by (x+1), then the remainder is :

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  2. When (x^(4)-3x^(3)+2x^(2)-5x+7) is divided by (x-2), then the remainde...

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  3. If x^3 + 5x^2+10k leaves remainder -2x when divided by x^2+2 then the ...

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  4. If (x^(11)+1) is divided by (x+1), then the remainder is :

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  5. If 5x^3+5x^2-6x+9 is divided by (x+3) then the remainder is:

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  6. If f(x) is divided by (2x+3), then the remainder is :

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  7. When (x^3-2x^2+px-q) is divided by (x^2-2x-3) the remainder is (x-6)Th...

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  8. If (x-2) is a factor of (x^(2)+3qx-2q), then the value of q is :

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  9. Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k.

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  10. Which one of the following is a factor of x^4-5x^3+5x^2-10x+24?

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  11. If (x+k) is a common factor of (x^(2)+px+q) are (x^(2)+lx+m), then the...

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  12. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is 0 (b)...

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  13. (x^(29)-x^(25)+x^(13)-1) is divisible by :

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  14. One of the factors of 3x^(3)+x^(2)-12x-4 is :

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  15. If (x^(100)+2x^(99)+k) is divisible by ( x+1 ) then the value of...

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  16. If (x-1) is a factor of (x^(3)-m), then the value of m is :

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  17. If the polynomial f(x) is such that f(-3)=0, then a factor of f(x) is ...

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  18. If x+1/x=2 then x^2+1/x^2 is equal to

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  19. If (x-(1)/(x))=4, then the value of (x^(2)+(1)/(x^(2))) is :

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  20. If (x+(1)/(x))=2sqrt3, then the value of (x^(3)-(1)/(x^(3))) is :

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