Verify the relation — task. Mathematics CBSE, Class 10.

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Find the roots of the polynomial \(p(z)\) \(=\)

z^{2} + 3 z - 10

and verify the relation between the coefficients and zeroes of the polynomial.

Answer:

Zeroes of the polynomial \(=\)

- i

and .

Sum of the zeroes \(=\)

\frac{i}{i}

\(=\) \(-\)

Product of the zeroes \(=\)

\frac{i}{i}

\(=\) \(-\)

(Hint: The coefficient of \(x^2\) is \(a\), coefficient of \(x\) is \(b\) and the constant term is \(c\).)

[Note: Enter the relation followed by the answer.]

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11. Verify the relation