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If (x+1) and (x-2) are factors of x^(3)+...

If `(x+1)` and `(x-2)` are factors of `x^(3)+ax^(2)-bx-6,` then find the values of a and b respectively.

A

2,3

B

3,5

C

5,3

D

2,5

Text Solution

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The correct Answer is:
D
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QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. Find the remainder when the expression 3x^3+6x^2-7x+6 is divided by x ...

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  2. Find the value of a if the division of ax^(3)+9x^(2)+4x-10 by (x+3) le...

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  3. If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the val...

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  4. if (5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)^2 is divided by x^2 + x + 1, ...

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  5. On dividing (x^3-5x + 6) by(x+1) the the remainder is:

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  6. When (x^4-3x^3+2x^2-5x+7) is divided by (x-1) then the remainder is

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

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  8. If (x^11+1) is divided by (x-1) then the remainder is

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

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

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

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  12. If (y-1) is a factor of (y^2+3qy-2q) then the value of q is:

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

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

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  15. If (x+a) be a common factor of x^2 + px + q and x^2 + p'x +q', then th...

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  16. When (x-a) is a factor of (x^3-3x^2a+2a^2x+p) then find the value of p...

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

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  18. One of the factors of 3x^3+x^2-12x-4 is

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  19. x^50+2x^37+p is divisible by (x+1) then the value of p is:

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

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