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If alphaa n dbeta are the zeros of the q...

If `alphaa n dbeta` are the zeros of the quadratic polynomial `f(x)=a x^2+b x+c ,` then evaluate: `alpha^2+beta^2` (ii) `alpha/beta+beta/alpha` (iii) `alpha^3+beta^3` `1/(alpha^3)+1/(beta^3)` (v) `(alpha^2)/beta+(beta^2)/alpha`

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RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If alpha and beta ar the zeros of the polynomial f(x)=x^2-5x+k such th...

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  2. If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=a x^...

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  3. If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=a x^2...

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  4. If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p...

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  5. If f(x) is a polynomial such that f(a)f(b)<0, then what is the nu...

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

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  7. If zeros of the polynomial f(x)=x^3-3p x^2+q x-r are in A.P., then (...

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  8. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c< 0 , then w...

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  9. What must be added to f(x)=4x^4+2x^3-2x^2+x-1 so that the resulting po...

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  10. Find the values of a and b so that x^4+x^3+8x^2+a x+b is divisible b...

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  11. Find all zeros of the polynomial 2x^4+7x^3-19 x^2-14 x+30 , if two of ...

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  12. If the polynomial 6x^4+8x^3+17 x^2+21 x+7 is divided by another polyno...

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  13. If alpha,beta,gamma are the zeros of the polynomial f(x)=x^3-p x^2+q ...

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  14. If alpha,beta are the zeros of the polynomial f(x)=a x^2+b x+c , then ...

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  15. If alpha,beta are the zeros of the polynomial f(x)=a x^2+b x+c , then ...

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

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  17. Draw the graph of the polynomial f(x)=2x-5. Also, find the coordinate...

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  18. Draw the graph of the polynomial f(x)=x^2-2x-8

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  19. Draw the graph of the quadratic polynomial f(x)=3-2x-x^2

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  20. If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , f...

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