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Show that m-1 is a factor of m^(21)-1...

Show that m-1 is a factor of `m^(21)-1`

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TARGET PUBLICATION-QUESTION FROM STD. IX-Polynomials
  1. Is the expression x^(2)-1/x + 3 a polynomial ?

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  2. By using variable x write any monomial and binominal each of degree 5...

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  3. Write the degree of the polynomial 7x^(3) +10x^(3) + x^(6) -8.

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  4. Write the degree of the polynomial m^(3)n^(7) -3m^(5)n + mn

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  5. Classify the following as linear, quadratic or cubic polynomial : 2x^(...

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  6. Write the polynomial x^(4)-4 in coefficient form.

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  7. Use the given letter to write the answer. There are 'a' trees in the...

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  8. Multiply : -7a^(2)xx3a

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  9. find the remainder when x^(3) -3x^(2)+x+1 is divided by x+1 .

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  10. Add : 6p^(2)q - 5pq^(2) -3pq, 8pq^(2)+2p^(2)q -2pq

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  11. Subtract the second polynomial from the first : 3x^(2)y-7xy^(2) +5x...

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  12. What should be added to x^(3)-x^(2) -x+1 to get 5x^(3) -4x^(2) +3x -1?

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  13. If the sides of a triangle are b-3a+2c, a+3b-3c and 2a-b+c, then find ...

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  14. Multiply : x^(2)-2, x^(3) + 2x^(2)+1

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  15. Divide the following polynomial and write the remainder . (x^(3)-3x...

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  16. If P(y)=y^(2)-[3sqrt(2)]y+1, then find p(3sqrt(2))

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  17. If p(y)=y^(3)-5y^(2)+5y+10 , then find p(2) +p(-2).

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  18. If the remainder obtained when x^(3)+5x^(2)+ax-7 is divided by x-3 is ...

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  19. Show that m-1 is a factor of m^(21)-1

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  20. Factorize : 2x^(2)-8x+6

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