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If the polynomial p(x) = x^(3) -x^(2) +3...

If the polynomial `p(x) = x^(3) -x^(2) +3x + k` is divided by `(x-1)` , the remainder obtained is 3, then the value of k is

A

0

B

1

C

3

D

`-3`

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VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. Sum of zeroes of a polynomial x^(3) - 2x^(2) + 3x -4 is ……………

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  2. The value of x, which satisfies 2(x-1)-(1-x) = 2x + 3

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  3. If the polynomial p(x) = x^(3) -x^(2) +3x + k is divided by (x-1) , th...

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  4. In a division, if divisor is x+1 , quotient is x and remainder is 4, t...

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  5. If alpha, beta are the zeroes of the polynomial x^(2) - x - 6 then alp...

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  6. Let p(x) = x^(2) - 4x +3. Find the value of p(1) and obtain zeroes of ...

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  7. If the polynomial p(x) = x^4 - 2x^3 + x^2 - 1 is divided by (x + 1), t...

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  8. A quadratic polynomial whose zeroes are 5 and -2 is

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  9. If sqrt(3) and -sqrt(3) are the zeroes of a polynominal p(x), then p(x...

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  10. The quadratic polynomial whose zeroes are sqrt(15) and -sqrt(15) is

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  11. If one zero of the quadratic polynomial 2x^(2) + kx - 15 is 3, then t...

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  12. The maximum number of zeroes that a polynomial of degree 3 can have is

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  13. The product and sum of the zeroes of the quadratic polynomial ax^(2) +...

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  14. The zeroes of the polynomial p(x) = 4x^(2) - 12x +9 are

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  15. If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6, t...

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  16. The graph of the polynomial f(x) = 2x - 5 is a straight line which int...

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  17. If 1 is the zero of the quadratic polynomial x^(2) + kx -5 , then the ...

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  18. If both the zeroes of a quadratic polynomial ax^(2) + bx + c are equal...

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  19. Sum and product of the zeroes of polynomial x^(2) - 3 are respectively...

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  20. If the zeroes of quadratic polynomial are equal in magnitude but oppos...

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