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If alphaa n dbeta ar the zeros of the po...

If `alphaa n dbeta` ar the zeros of the polynomial `f(x)=x^2-5x+k` such that `alpha-beta=1,` find the value of `kdot`

A

`alphabeta=6`

B

`alpha^(2)+beta^(2)=13`

C

k=6

D

All of these

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MTG IIT JEE FOUNDATION-POLYNOMIALS-EXERCISE (Multiple Choice Questions) LEVEL-1
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  3. The graph of the polynomial p(x) cuts the x-axis at 2 places and touch...

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

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

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

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

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

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

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  12. If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1, then find the value of a ...

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  13. Which of the following graphs has more than three distinct real roots?

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  14. If two of the zeroes of the polynomial p(x)=5x^(4)-5x^(3)-33x^(2)+3x+1...

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  15. Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has ...

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  16. If alpha and beta are the zeroes of the quadratic polynomial x^(2)-(k+...

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  17. If sum of the squares of zeroes of the quadratic polynomial p(x)=x^(2)...

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  18. If two zeroes of the polynomial f(x)=x^(3)-3x^(2)-12x+36 are 2sqrt3 an...

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  19. The graph of a polynomial is given below. Find the algebraic expr...

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  20. For the polynomial p(x)=(1)/(2)x^(2)-3x+2, find the difference of zero...

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