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Find the values of `a` and `b` so that `x^4+x^3+8x^2+a x+b` is divisible by `x^2-1.`

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RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. 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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  2. What must be added to f(x)=4x^4+2x^3-2x^2+x-1 so that the resulting po...

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

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

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

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

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

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

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

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

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

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

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  14. Draw the graph of the polynomial f(x)=-4x^2+4x-1. Also find the vertex...

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  15. If the sum of the zeros of the quadratic polynomial f(t)=k t^2+2t+3k i...

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  16. Draw the graph of the polynomial f(x)=-3x^2+2x-1.

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  17. Find the zeros of the quadratic polynomial x^2+7x+12 , and verify the ...

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  18. Find the zeros of polynomial f(x) = 4sqrt3 x^2 + 5x - 2sqrt 3; and ver...

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

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  20. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3−2x^2−10x−5, if ...

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