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Verify that -sqrt2,sqrt2 and -3 are the ...

Verify that `-sqrt2,sqrt2` and -3 are the zeroes of the polynomial `x^3+3x^2-2x-6` and check the relationship between the zeroes and the coefficients.
Hint Let p(x) = `x^3+3x^2-2x-6. If`p(sqrt-2)`=0 then `-sqrt2` is a zero`.
Also sum of the zeroes = `(-Coefficient of x^2)/(Coefficient of x^3)`

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BEYOND PUBLICATION-POLYNOMIALS-EXERCISE
  1. Draw the graphs of p(x) = x^2-x-6 find the zeroes Also, sum of the z...

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  2. Draw the graphs of p(x) = x^2+5x-6 find the zeroes. Also, sum of the...

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  3. Verify that -sqrt2,sqrt2 and -3 are the zeroes of the polynomial x^3+3...

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  4. Verify that -1, -2, and -10 are the zeroes of the polynomial x^3+13x^2...

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  5. Find the zeroes of the following quadratic polynomials and verify the ...

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  6. Find the zeroes of the following quadratic polynomials and verify the ...

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  7. Find the zeroes of the following quadratic polynomials and verify the ...

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  8. Find the zeroes of the following quadratic polynomials and verify the ...

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  9. Find the zeroes of the following quadratic polynomials and verify the ...

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  10. find the quadratic polynomial in each case with the given numbers as t...

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  11. find the quadratic polynomial in each case with the given numbers as t...

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  12. find the quadratic polynomial in each case with the given numbers as t...

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  13. find the quadratic polynomial in each case with the given numbers as t...

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  14. find the quadratic polynomial in each case with the given numbers as t...

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  15. find the quadratic polynomal, for the zeroes alpha, beta given in each...

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  16. find the quadratic polynomal, for the zeroes alpha, beta given in each...

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  17. find the quadratic polynomal, for the zeroes alpha, beta given in each...

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  18. find the quadratic polynomal, for the zeroes alpha, beta given in each...

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  19. find the quadratic polynomal, for the zeroes alpha, beta given in each...

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  20. Verify that sqrt(3), sqrt(-3) and -1/2 are the zeroes of the polynomia...

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