Question

Find the quadratic polynomial , the sum and product of whose zeroes are 2/3 and -1.
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Answer 1

Question :-

Find the quadratic polynomial , the sum and product of whose zeroes are 2/3 and -1.

Solution :-

Given :

• $\sf{ \alpha + \beta = \frac{2}{3} }$
• $\sf{ \alpha \beta = - 1}$

Need to find :

• Quadratic equation

Quadratic equation :

$\sf : \longmapsto{x {}^{2} - ( \alpha + \beta )x + \alpha \beta } \\ \\ \sf : \longmapsto{ x {}^{2} - \frac{2}{3}x - 1 } \: \: \: \: \: \: \: \: \: \: \:$

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Find the quadratic polynomial the sum and the product of whose zeroes are 2 and -1/3.

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