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If the remainders of the polynomial `f(x)` when divided by `x-1, x-2` are 2, 5 then the remainder of `f(x)` when divided by `(x-1)(x-2)` is

A

0

B

`1-x`

C

`2x-1`

D

`3x-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. If the remainders of the polynomial f(x) when divided by x-1, x-2 are...

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  2. The remainder of the polynomial f(x) when divided by x+1, x+2, x-2 are...

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  3. If (2x+1)/((x-1)(x^(2)+2))=(A)/(x-1)+(Bx+c)/(x^(2)+2) then B=

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  4. Observe the following Lists ul("List - I") A) If (3x)/((x-a)(x-b))...

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  5. Let a, b, c such that (1)/((1-x)(1-2x)(1-3x))+(a)/(1-x)+(b)/(1-2x)+(c)...

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  6. The partial fractions of (x^(2)+1)/(x(x^(2)-1)) are

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  7. If (x^(4))/((x-a)(x-b)(x-c))= P(x)+(A)/(x-a)+(B)/(x-b)+(C)/(x-c) then ...

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  8. The partial fractions of (x^(3)-5)/(x^(2)-3x+2) are

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  9. The partial fractions of (6x^(4)+5x^(3)+x^(2)+5x+2)/(1+5x+6x^(2)) are

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  10. x^(3)/((2x-1)(x+2)(x-3))=A+B/(2x-1)+C/(x+2)+D/(x-3) rArr A =

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  11. The partial fractions of (x^(2))/((x^(2)+a^(2))(x^(2)+b^(2))) are

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  12. The partial fractions of (1)/((x^(2)+9)(x^(2)+16)) are

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  13. (3x^(2)+x+1)/((x-1)^(4))=(A)/(x-1)+(B)/((x-1)^(2))+(C)/((x-1)^(3))+(D)...

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  14. If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+...

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  15. Resolve into Partial Fractions (vi) (x^(2)+13x+15)/((2x+3)(x+3)^(2)...

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  16. The partial fractions of 1/(x^(3)(x+2)) =

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  17. If f(x) is a function of x such that (1)/((1+x)(1+x^(2)))=(A)/(1+x)+(f...

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  18. If (x)/((1+x^(2))(3-2x))=(A)/(3-2x)+(Bx+C)/(1+x^(2)) then C=

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  19. If (1)/(x(x^(2)+a^(2)))=(A)/(x)+(Bx+C)/(x^(2)+a^(2)) then tan^(-1)(A/B...

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  20. If (x+1)^(2)/(x^(3)+x)=A/x+(Bx+C)/(x^(2)+1) " then "Sin^(-1)(A/C)=

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