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If alpha,\ beta,\ gamma are the zeros of...

If `alpha,\ beta,\ gamma` are the zeros of the polynomial `f(x)=a x^3+b x^2+c x+d` , then `1/alpha+1/beta+1/gamma=` (a) ` b/d` (b) `c/d` (c) ` c/d` (d) ` c/a`

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RD SHARMA-POLYNOMIAL-All Questions
  1. If alpha,\ beta are the zeros of polynomial f(x)=x^2-p(x+1)-c , then (...

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  2. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

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  3. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for whi...

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  4. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

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  5. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

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  6. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is ,...

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  7. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

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  8. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

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  9. If one root of the polynomial f(x)=5x^2+13 x+k is reciprocal of the ot...

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  10. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

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  11. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

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  12. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

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  13. The product of the zeros of x^3+4x^2+x-6 is (a) -4 (b) 4 (c) 6 (d) ...

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  14. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

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  15. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

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  16. A quadratic polynomial, the sum of whose zeroes is 0 and one zero i...

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  17. If two zeroes of the polynomial x^3+x^2-9x-9 are 3 and -3 , then its t...

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  18. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^3+3x^2-5x-15...

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  19. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

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  20. The polynomial which when divided by x^2+x-1 gives a quotient x-2 and...

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