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Find a cubic polynomial with the sum, su...

Find a cubic polynomial with the sum, sum of the products of its zeros taken two at a time, and product of its zeros as `2,\ -7,\ -14` respectively.

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RD SHARMA-POLYNOMIAL-All Questions
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  2. Verify that 3,\ -1 and -1/3 are the zeros of the cubic polynomial p...

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  3. Find a cubic polynomial with the sum, sum of the products of its zeros...

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  4. Find the condition which must be satisfied by the coefficients of the ...

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  5. If the two zeros of polynomial f(x) = x^3 - 4 x^2 -3x + 12 are sqrt3 a...

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  6. Find the zeros of the polynomial f(x)=x^3-5x^2-16 x+80 , if its two ze...

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  7. Find the zeros of the polynomial f(x)=x^3-12 x^2+39 x-28 , if it is gi...

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  8. If the zeros of the polynomial f(x)=x^3-3x^2+x+1 are a-b ,\ \ a ,\ \ a...

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  9. Verify that the numbers given along side of the cubic polynomial f(x)=...

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  10. Verify that the numbers given along side of the cubic polynomial g(x)=...

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  11. Find a cubic polynomial with the sum, sum of the product of its zeros ...

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  12. If the zeros of the polynomial f(x)=2x^3-15 x^2+37 x-30 are in A.P....

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  13. Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q...

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  14. If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., p...

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  15. If the zeros of the polynomial f(x)=x^3-12 x^2+39 x+k are in A.P., fin...

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  16. Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-...

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  17. Divide the polynomial f(x)=6x^3+11 x^2-39 x-65 by the poly-nomial g(x)...

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  18. Divide the polynomial u(x)=9x^4-4x^2+4 by the poly-nomial v(x)=3x^2+x-...

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  19. Divide the polynomial f(x)=30 x^4+11 x^3-82 x^2-12 x+48 by 3x^2+2x-4 ....

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  20. Apply the division algorithm to find the quotient and remainder on ...

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