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Verify that 1,-1 and +3 are the zeroes o...

Verify that `1,-1` and `+3` are the zeroes of the cubic polynomial `x^(3)-3x^(2)-x+3` and check the relationship between zeroes and the coefficients.

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VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. Find the quadratic polynomial, for the zeroes alpha, beta given in eac...

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  2. Find the quadratic polynomial, for the zeroes alpha, beta given in eac...

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  3. Verify that 1,-1 and +3 are the zeroes of the cubic polynomial x^(3)-3...

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  4. Divide 2x^(2)+3x+1 by x+2.

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  5. Divide 3x^(2)+x^(2)+2x+5by 1+2x+x^(2).

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  6. Divide 3x^(2)-x^(3)-3x+5 by x-1-x^(2), and verify the division algorit...

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  7. Find all the zeroes of 2x^(4)-3x^(3)-3x^(2)+6x-2, if you know that two...

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  8. Divide the polynomial p(x) by the polynomial g(x) and find the quotien...

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  9. Divide the polynomial p(x) by the polynomial g(x) and find the quotien...

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  10. Divide the polynomial p(x) by the polynomial g(x) and find the quotien...

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  11. Check in which case the first polynomial is a factor of the second pol...

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  12. Check in which case the first polynomial is a factor of the second pol...

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  13. Check in which case the first polynomial is a factor of the second pol...

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

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

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

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

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

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

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

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