Question

Form a quadratic polynomial whose sum and product of zeroes are 0 and
- 6 respectively.​

Answer 1

Quadratic polynomial is of the form

x² - 2[sum of zeroes] x + product of zeroes

Given

Sum of zeroes = 0

Product of zeroes = (-6)

Required polynomial

x² - 2 [0] x + (-6)

x² - 0x - 6

Answer

x² - 6

Answer 2

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$question \: -$

☞Form a quadratic polynomial whose sum and product of zeroes are 0 and

- 6 respectively.

Answer —

$by \: using \: - \\ \\ {x}^{2} - 2(sum \: of \: zeroes)x \: + product \: of \: zeroes$

$☞ {x}^{2} - 2( \alpha + \beta )x \: + ( \alpha \beta )$

$→here \\ \alpha + \beta = 0$

$→\alpha \beta = \: - 6$

$☞by \: putting \: the \: values -$

$→{x}^{2} - 2(0)x \: + ( - 6)$

$→{x}^{2} - 0x - 6$

$→ {x}^{2} - 6$

hope it is helpful for you ✅✔☑

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