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On dividing x^(3)-3x^(2)+x+2 by a polyno...

On dividing `x^(3)-3x^(2)+x+2` by a polynomial `g(x)` the quotient and remainder were `x-2` and `-2x+4`, respectively. Find `g(x)`.

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VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. Check in which case the first polynomial is a factor of the second pol...

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  2. Obtain all other zeroes of 3x^(4)+6x^(3)-2x^(2)-10x-5, if two of its z...

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  3. On dividing x^(3)-3x^(2)+x+2 by a polynomial g(x) the quotient and rem...

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  4. Give example of polynomials p(x), g(x), q(x) and r(x), which satisfy t...

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  5. Give example of polynomials p(x), g(x), q(x) and r(x), which satisfy t...

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  6. Give example of polynomials p(x), g(x), q(x) and r(x), which satisfy t...

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  7. Verify that the numbers given along side the cubic polynomials below a...

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  8. Verify that the numbers given along side the cubic polynomials below a...

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  9. Find a cubic polynomial with the sum, sum of the product of its zeroes...

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  10. It the zeroes of the polynomial x^(3)-3x^(2)+x+1 are a-b,a,a+b find a ...

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  11. If two zeroes of the polynomial x^(4)-6x^(3)-26x^(2)+138x-35 are 2pmsq...

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  12. If the polynomial x^(4)-6x^(3)-16x^(2)+25x+10 is divided by another po...

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  13. Find the quotient (x^(5)+x^(4)+x^(3)+x^(2))/(x^(3)+x^(2)+x+1) When x ...

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  14. We can write a trinomial having degree 7^(th). Justify the given stat...

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  15. For what value of k, -4 is a zero of the polynomial x^(2)-x - (2k + 2)...

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  16. Write an example for a quadratic polynomial which has no zeroes.

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  17. If p(x) = x^(3) - 3x^(2) + 2x - 3 is a polynomial, then find the value...

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  18. Srikar says that the order of the polynomial (x^(2)-5)(x^(3)+1) is 6. ...

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  19. Find the zeroes of the polynomial p(x) = x^(2) - 4.

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  20. Verify the relation between zeroes and coefficients of the Quadratic p...

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