Question

Find a quadratic polynomial whose sum of zeroes and product of zeroes are √2 and 1/3​

Answer 1

Answer:

Sum and product of whose zeros are √2 and 1/3 respectively. where k/3 is a constant term, real number. respectively. Hence, required polynomial is 4x2 + x + 1

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Answer 2

Question :-

Find a quadratic polynomial whose sum of zeroes and product of zeroes are √2 and 1/3.

Solution :-

Given :

• Sum of the zeros √2
• Product of the zeros 1/3

Need to find :

• Quadratic polynomial

Where,

Quadratic polynomial :

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

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find a quadratic polynomial whose sum of zeros is -3/2root5 and the product of the zeroes is -1/2 also find the zeroes of the polynomial.

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