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If alpha, beta, gamma be the zeros of th...

If `alpha, beta, gamma` be the zeros of the polynomial p(x) such that `(alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 ` then p(x) = ?

A

`x^(3)+3x^(2)-10x+24`

B

`x^(3)+3x^(2)+10x-24`

C

`x^(3)-3x^(2)-10x+24`

D

None of these

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MTG IIT JEE FOUNDATION-POLYNOMIALS-EXERCISE (Multiple Choice Questions) LEVEL-1
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  2. If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) ...

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  3. If alpha, beta, gamma be the zeros of the polynomial p(x) such that (...

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  4. The value of k such that the quadratic polynomial x^(2)-(k+6)x+2(2k+1)...

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  5. If alpha and beta are the zeros of the quadratic polynomial f(t)=t^...

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  6. If the polynomials 2x^3+a x^2+3x-5 and x^3+x^2-4x+a leave the same rem...

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  7. One of the factors of (a^(2)-b^(2))(c^(2)-d^(2))-4abcd is

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  8. If one zero of the polynomial f(x)=(k^(2)+4)x^(2)+16x+4k is reciprocal...

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

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  10. If the sum of squares of zeros of the polynomial x^(2)-8x+k is 40, fin...

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  11. The graph of y=x^(3)-4x cuts x-axis at (-2,0), (0,0) and (2,0). The ze...

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  12. The graph of the polynomial p(x) cuts the x-axis at 2 places and touch...

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

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  14. The zeroes of the quadratic polynomial 100x^(2)+50x+99 are

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  15. If alpha, beta, gamma are the zeroes of the polynomial f(x) = 2x^3 + 6...

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  16. If alphaa n dbeta ar the zeros of the polynomial f(x)=x^2-5x+k such th...

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

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  18. If alpha,beta be the zeroes of the quadratic polynomial f(x)=x^(2)+px+...

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  19. If alpha,beta,gamma are the zeroes of the polynomial f(x)=x^(3)-5x^(2)...

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  20. The graph of y = p(x) is given below. Find the number of zeroes of p(x...

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