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If (x) is a polynomal of degree n with ...

If (x) is a polynomal of degree n with rational coeficients and 1 + `2i, 2 - sqrt(3)` and 5 are three roots of f(x) = 0 , then the least value of n is

A

5

B

4

C

3

D

6

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
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  2. The equation of lowest degree with rational coeficients having a roots...

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  3. If (x) is a polynomal of degree n with rational coeficients and 1 + 2...

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  4. If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) ...

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  5. The roots of x^(3) + 2x^(2) - x - 2 = 0 are

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  6. The roots of x^(3) + x^(2) - 2x - 2 = 0 are

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  7. Thr roots of the equation x^(3) - 3x - 2 = 0 are

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  8. The roots of x^(4) - 1 = 0 are

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  9. The roots of x^(4) - 5x^(3) + 3x^(2) + 19x - 30 = 0 are

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  10. Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

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  11. If 2 is a root of x^(3) + 3x^(2) - 4x + k = 0 then the roots are

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  12. The roots of x^(4) + 4x^(3) + 5x^(2) + 2x - 2 = 0 one root being -1 +...

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  13. The roots of 3x^(3) - 4x^(2) +x +88 = 0, one root being 2 + sqrt(7) i...

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  14. The root of x^(3) - 6x^(2) + 7x + 2 = 0 one root being 2 + sqrt(5) ar...

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  15. If 3 - sqrt(2) is a root of x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 ...

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  16. If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, t...

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  17. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

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  18. If two roots of x^(4) - 16x^(3) + 86x^(2) - 176x + 105 = 0 are 1, 7 t...

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  19. If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely ...

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  20. It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the root...

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