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What is the zero of the polynomial p(x)=...

What is the zero of the polynomial `p(x)=(x^(n)-1)/(2^(x)-1)`, where n is a natural number and `xne0` ?

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.2
  1. If f(x)=4^(x)/(4^(x)+2) then find f(x) + f(1 - x).

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  2. If f(x)=x/(2^(x)-1), then show that f(-1) = 2.

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  3. What is the zero of the polynomial p(x)=(x^(n)-1)/(2^(x)-1), where n i...

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  4. Determine the zeroes of the polynomial p(x)=x^(2)-5x.

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  5. Find the zeroes of the polynomial p(x)=x^(2)-5x+4.

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  6. Determine f(x), when f(x+3)=2x^(2)-3x-1.

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  7. If y=f(x)=(ax+b)/(cx-a), then find f(y).

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  8. If f(x)=2^(ax+1), the determine f(a)*f(b)*f(c).

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  9. If f(x)=x^(2)-5x+6, then determine f(x^(2)+1).

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  10. If f(x)=2^(x), then prove that f(x +1) = 4f( x - 1).

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  11. If f(x)=(1-x)/(1+x), then prove that f(x)+f(1/x)=0.

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  12. Find the zeroes of the polynomial p(x)=x^(2)-(a+1/a)x+1.

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  13. If f(x)=log(2)xandg(x)=x^(2) then find f(g(2)).

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  14. If f(x)=x^(2)andg(x)=sqrtx, then prove that g(f(4)) = 4.

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  15. If f(x)=4^(x), then prove that (f(x+1))/(f(x-1))=16.

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  16. The polynomial f(x) is defined by f(x)={{:("0 when x is an integer ,...

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  17. If the polynomial f(x) be defined by f(x) = {{:(2x^(2)-3 " when " xl...

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  18. If f(x) = ax + b, f(0) = 2 and f(4) = 10, then find the values of a an...

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  19. If 2f(x) + 3f(-x) = 15 - 4x, then prove that f(x) = 3 + 4x.

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  20. If f(x)=ax^(2)+bx+c and f(x + 1) = f(x) + x + 1, then determine the va...

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