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Divide 4x^3+2x^2+x+6 by 2+4x+x^2 and ver...

Divide `4x^3+2x^2+x+6` by `2+4x+x^2` and verify the division algorithm.

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BEYOND PUBLICATION-POLYNOMIALS-EXERCISE
  1. Divide 4x^3+2x^2+x+6 by 2+4x+x^2 and verify the division algorithm.

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  2. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x

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  3. If p(x) = 2x^5-6x^4+3x-8, find degree of p(x)

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  4. If p(x) = 2x^5-6x^4+3x-8, find constant term

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  5. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x^4

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  6. If p(x) = 17x^3+30x-62x^2+10x^4-3, find degree of p(x)

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  7. If p(x) = 17x^3+30x-62x^2+10x^4-3, find coefficient of x^2

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  8. If p(x) = 17x^3+30x-62x^2+10x^4-3, find sum of the coefficients of p...

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  9. If p(x) = 17x^3+30x-62x^2+10x^4-3, find constant terms.

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  10. If p(t) = 2t^3+5t-7, find the values of p(1), p(-1),p(0),p(2),p(-2).

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  11. Check whether -3 and 3 are the zeroes of the polynomial x^4-81. [hin...

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  12. Check whether 2 and -5 are the zeroes of the polynomial x^2+3x-10.

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  13. Check whether -2 and 6 are the zeroes of the polynomial x^2-4x-12. ...

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  14. State which of the following statements are true and which are false? ...

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  15. State which of the following statements are true and which are false? ...

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  16. State which of the following statements are true and which are false? ...

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  17. State which of the following statements are true and which are false? ...

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  18. State which of the following statements are true and which are false? ...

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  19. Find the zeroes of the given polynomials p(x) = 5x

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  20. Find the zeroes of the given polynomials p(x) = x^2+7x+12

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  21. Find the zeroes of the given polynomials p(x) = (x+8)(x+5)

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