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Let a ne 0 and p(x ) be a polynomi...

Let ` a ne 0` and `p(x ) ` be a polynomial of degree greater than 2. If P(x ) leaves remainder a and -a when divided respectively by x+a and x-a then the remainder when p(X ) is divided by ` x^2 -a^2` is

A

2x

B

`-2x`

C

`x`

D

`-x`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
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  2. If f(x) = 2x^4 - 13 x^2 + ax +b is divisible by x^2 -3x +2 the...

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  3. Let a ne 0 and p(x ) be a polynomial of degree greater than ...

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  4. If f(x) is is a polynomial of degree n with rational coefficien...

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  5. If (1 + I sqrt(3))/(2) is a root of the equation x^4-x^3 +x-1=0 ...

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  6. If the roots of the equation x^4 - 10x^3 +50 x^2 - 130 x + 16...

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  7. If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +...

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  8. If sqrt(3) +1 is a root of the equation 3x^3 + ax^2 + bx +12 =0...

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  9. If the roots of x^3 - 9x^2 +kx +l=0 are in A.P with common dif...

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  10. The roots of the equation x^(3) - 14x^(2) + 56x- 64 = 0 are in …… pr...

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  11. The roots of 48x^3 - 44 x^2 + 12 x -1=0 are in

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  12. The difference between two roots of the equation x^3 -13 x^2 + 15 ...

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  13. If two roots of x^3 - 9x^2 + 14 x +24 =0 are in the ratio 3:2 t...

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  14. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

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  15. If the roots of x^4 - 8x^3 + 14 x^2 + 8x - 15=0 are in A.P t...

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  16. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

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  17. If the sum of two of the roots of x^4 -2x^3 -3x^2 +10 x-10=0 i...

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  18. the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of...

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  19. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  20. If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=...

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