Question

find a quadratic polynomial the sum and product of whose zeroes are root 2 and -3 divided by 2​

Answer 1

Answer:

Heres your answer

Step-by-step explanation:

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Answer 2

$2x^2 - 2\sqrt{2}x - 3 =0$ is the quadratic polynomial the sum and product of whose zeroes are root 2 and -3 divided by 2​

Solution:

Given that,

$\text{Sum of zeros } = \sqrt{2}\\\\\text{product of zeros } = \frac{-3}{2}$

The general form of quadratic equation is given as:

$x^2 - (\text{sum of zeros)}x + \text{ product of zeros} = 0$

Therefore, substitute the given values

$x^2 - \sqrt{2}x -\frac{3}{2} = 0\\\\Simplify\\\\2x^2 - 2\sqrt{2}x - 3 =0$

Thus the quadratic equation is found

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