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If the polynomials 2x^3+a x^2+3x-5 and x...

If the polynomials `2x^3+a x^2+3x-5` and `x^3+x^2-4x+a` leave the same remainder when divided by `x-2,` find the value of `adot`

A

2

B

`-2`

C

3

D

`-3`

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MTG IIT JEE FOUNDATION-POLYNOMIALS-EXERCISE (Multiple Choice Questions) LEVEL-1
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  2. If alpha and beta are the zeros of the quadratic polynomial f(t)=t^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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