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If the polynomial x^(4)-6x^(3)-16x^(2)+2...

If the polynomial `x^(4)-6x^(3)-16x^(2)+25x+10` is divided by another polynomial `x^(2)-2x+k`, the remainder comes out to be `x+a`, find k and a.

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VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. It the zeroes of the polynomial x^(3)-3x^(2)+x+1 are a-b,a,a+b find a ...

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  2. If two zeroes of the polynomial x^(4)-6x^(3)-26x^(2)+138x-35 are 2pmsq...

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  3. If the polynomial x^(4)-6x^(3)-16x^(2)+25x+10 is divided by another po...

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  4. Find the quotient (x^(5)+x^(4)+x^(3)+x^(2))/(x^(3)+x^(2)+x+1) When x ...

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  5. We can write a trinomial having degree 7^(th). Justify the given stat...

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  6. For what value of k, -4 is a zero of the polynomial x^(2)-x - (2k + 2)...

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  7. Write an example for a quadratic polynomial which has no zeroes.

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  8. If p(x) = x^(3) - 3x^(2) + 2x - 3 is a polynomial, then find the value...

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  9. Srikar says that the order of the polynomial (x^(2)-5)(x^(3)+1) is 6. ...

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  10. Find the zeroes of the polynomial p(x) = x^(2) - 4.

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  11. Verify the relation between zeroes and coefficients of the Quadratic p...

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  12. If P(x)=x^4+1, then find P(2)-P(-2).

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  13. Verify whether 2 and 1 are zeros of the polynomial x ^(2) - 3x + 2 or ...

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  14. -3, 0 and 2 are the zeroes of the polynomial p(x) = x^3 + (a - 1)x^2 +...

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  15. Write any two linear polynomials having one term and three terms.

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  16. If we multiply or divide both sides of a linear equation by a zero num...

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  17. The length of a rectangle is 5 more than its breadth, so express its p...

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  18. Show that 2 and -1/3 are zeroes of the polynomial 3x^(2) - 5x -2.

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  19. Which of sqrt(2) and 2 is a zero of the polynomial p(x) = x^(3)-2x? W...

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  20. Divide x^(3) - 3x^(2) + 5x -3 by x^(2) -2 and verify the divison lemma...

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