Question

Find a quadratic a polynomial the sum of whose zeroes is √2 and there product is - 12

Answer 1

HOLA

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$x {}^{2} \: - \: ( \: \alpha \: + \: \beta \: )x \: + \: ( \alpha \beta ) \\ \\ ( \: \alpha \: + \beta \: ) \: = \: \sqrt{2} \\ \\ ( \alpha \beta ) \: = \: - \: 12 \\ \\ x {}^{2} - \: \sqrt{2} x \: - \: 12$

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HOPE U UNDERSTAND ❤❤❤

Answer 2

Answer:

We know that

X^2 - x(sum of root)+product of roots

=x^2 - root2x-12

This is the required solution