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If the polynomials 2x ^(3) + ax ^(2) + 3...

If the polynomials `2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a` leave the same remainder when divided by `x -2,` find te value of a.

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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Find the remainder when 2x ^(2) - 3x + 5 is divided 2x-3. Does it exac...

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  2. Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/...

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  3. If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x ...

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  4. If the polynomials x ^(3) + ax ^(2) + 5 and x ^(3) - 2x ^(2)+a are div...

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  5. Find the remainder when f (x) =x ^(4) - 3x ^(2) + 4 is divided by g (x...

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  6. Find the remainder when p (x) = x ^(3) - 6x ^(2) + 14x -3 is divided b...

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  7. When a polynomial 2x ^(3) + 3x ^(2) + ax + b is divided by (x-2) leave...

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  8. If p(x) is a polynomial of degree nge1 and 'a' is any real number, the...

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  9. Examine whether x +2 is a factor of x ^(3) + 2x ^(2) + 3x +6

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  10. Find the value of K, if 2x-3 Is a factor of 2x^3-9x^2 +x+K.

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  11. Show that (x-1) is a factor of x ^(10) -1 and also of x ^(11) -1.

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  12. Show that (x-1) is a factor of x ^(n)-1.

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  13. Factorise 3x ^(2) + 11 x + 6

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  14. Fractorise the following (i) 6x ^(2) + 19 x + 15

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  15. Factors of 10 m ^(2) - 31m - 132

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  16. Factorise the following. 12x^2+11x+2

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  17. Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^...

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  18. Factorise x ^(3) - 23 x ^(2) + 142 x -120

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  19. Determine which of the following polynomials has (x +1) as a factor. ...

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  20. Determine which of the following polynomials has (x +1) as a factor. ...

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