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For some integer m, every even integer...

For some integer m, every even integer is of the form:

A

m

B

m+1

C

2m

D

2m+1

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MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. If x+1 is a factor of the polynomial 2x^2+kx, then k=

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  2. If x^2-1 is a factor of ax^4+bx^3+cx^2+dx+e, then

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  3. For some integer m, every even integer is of the form:

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  4. For some integer q, every odd integer is of the form

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  5. n^2-1 is divisible by 8, if n is

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  6. If the HCF of 65 and 117 is expressible in the form 65m-117, then the ...

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  7. The largest number which divides 70 and 125, leaving remainders 5 and ...

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  8. If two positive integers p and q can be expression as p=ab^2 and q=a^3...

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  9. The product of a non-zero rational and irrational number is

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  10. The least number that is divisible by all the numbers from 1 to 10 is

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  11. The decimal expansion of the rational number 14587/1250 will terminate...

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  12. Find the zeroes of the polynomial x^2-5x

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  13. Evaluate: (a-b)^3+(b-c)^3+(c-a)^3

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  14. Using Remainder theorem, find the remainder when 4x^3-12x^2+11x-5 is d...

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  15. Using factor theorem, prove that x-y is a factor of x(y^2-z^2)+y(z^2-x...

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  16. Show that p-1 is a factor of p^10-1 and also p^11-1

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  17. If x+2a is a factor of x^5-4a^2x^3+2x+2a+3 find a.

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  18. Without actually calculating the cubes, find the value of: (1/2)^3+(1/...

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  19. If both x-2 and x-1/2 are factors of px^2+5x+r, show that p=r.

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  20. Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6

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