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If x + y + z = 0, show that x^3 + y^3 + ...

If `x + y + z = 0`, show that `x^3 + y^3 + z^3 = 3xyz`.

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MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. If x + y + z = 0, show that x^3 + y^3 + z^3 = 3xyz.

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  2. Which of the following expressions are polynomial x^2-5x+7

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  3. Which of the following expressions are polynomial x^3-5x^2+9x+11

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  4. Which of the following expressions are polynomial 2 3sqrt2

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  5. Which of the following expressions are polynomial x+5/x+2

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  6. Which of the following expressions are polynomial x^2+5+x^4+x^3

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  7. Which of the following expressions are polynomial -11

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  8. Which of the following expressions are polynomial (5pi)/6

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  9. Which of the following expressions are polynomial 3x^2+8x

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  10. Write the degree of each of the following polynomials 3x-sqrt7

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  11. Write the degree of each of the following polynomials 8x^2+5x+sqrt11

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  12. Write the degree of each of the following polynomials x^3+7x^2+9x+13

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  13. Write the degree of each of the following polynomials x^4+2x^2+9

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  14. Write the degree of each of the following polynomials 7

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  15. Write the degree of each of the following polynomials pi?

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  16. Write: coefficient of x in x^3+7x^2+9x+11.

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  17. Write: coefficient of x^2 in x^4+7x^3+9x^2+11

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  18. Write: coefficient of x^3 in x^4+5x^3+7x^2+9x+11

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  19. Write: coefficient of x^4 in 7x^2+9x+11x^4+13

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  20. Classify the following polynomials as linear, quadratic, cubic and biq...

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  21. Classify the following polynomials as linear, quadratic, cubic and biq...

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