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If the zeros of the polynomial `f(x)=a x^3+3b x^2+3c x+d` are in A.P., prove that `2b^3-3a b c+a^2d=0` .

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RD SHARMA ENGLISH-POLYNOMIAL-All Questions
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  2. Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q...

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  3. 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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  4. 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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  5. Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-...

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

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

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

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

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

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  13. Find all the zeros of the polynomial f(x)=2x^4-3x^3-3x^2+6x-2 , if two...

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  14. If two zeros of the polynomial f(x)=x^4-6x^3-26 x^2+138 x-35 are 2+-sq...

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  15. On dividing the polynomial f(x)=x^3-3x^2+x+2 by a polynomial g(x) , th...

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  16. If the polynomial f(x)=x^4-6x^3+16 x^2-25 x+10 is divided by another p...

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  17. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

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  18. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

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  19. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

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  20. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

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