Exemplar problems XXX — task. Mathematics CBSE, Class 10.

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Find a quadratic polynomial, the sum and product of whose zeroes are

$- 2\sqrt{3}$ and

$-9$ , respectively. Also, find its zeroes of the polynomial by factorisation.

Answer:

Quadratic polynomial

$=$

The zeroes are

and

.

Answer variants:

$x^2 + 2 \sqrt{3}x - 9$

$x = -3 \sqrt{3}$

$x = -\sqrt{3}$

$x^2 - 2 \sqrt{3}x - 9$

$x = \sqrt{3}$

$x = 3 \sqrt{3}$

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