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Write a quadratic polynomial, sum of who...

Write a quadratic polynomial, sum of whose zeros is `2sqrt(3)` and their product is 2.

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RD SHARMA-POLYNOMIAL-All Questions
  1. Division algorithm for polynomials

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  2. Give an example of polynomials f(x),\ \ g(x),\ \ q(x) and r(x) satisfy...

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  3. Write a quadratic polynomial, sum of whose zeros is 2sqrt(3) and th...

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  4. If fourth degree polynomial is divided by a quadratic polynomial, writ...

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  5. If f(x)=x^3+x^2-a x+b is divisible by x^2-x write the values of a and ...

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  6. If a-b ,\ a and a+b are zeros of the polynomial f(x)=2x^3-6x^2+5x-7 , ...

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  7. Write the coefficients of the polynomial p(z)=z^5-2z^2+4 .

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  8. Write the zeros of the polynomial x^2-x-6 .

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  9. If (x+a) is a factor of 2x^2+2a x+5x+10 , find a .

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  10. For what value of k ,\ -4 is a zero of the polynomial x^2-x-(2k+2) ?

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  11. If 1 is a zero of the polynomial p(x)=a x^2-3(a-1)x-1 , then find the ...

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  12. If alpha,\ beta are the zeros of the polynomial such that alpha+bet...

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  13. If alpha,\ beta are the zeros of the polynomial 2y^2+7y+5 , write the ...

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  14. For what value of k , is 3 a zero of the polynomial 2x^2+x+k ?

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  15. For what value of k , is -3 a zero of the polynomial x^2+11 x+k

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  16. If a quadratic polynomial f(x) is factorizable into linear distinct...

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  17. If a quadratic polynomial f(x) is a square of a linear polynomial, ...

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  18. If a quadratic polynomial f(x) is not factorizable into linear fact...

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  19. If graph of quadratic polynomial a x^2+b x+c cuts positive direction o...

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  20. If the graph of quadratic polynomial a x^2+b x+c cuts negative directi...

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